| { |
| "case_id": "Case19", |
| "title": "Photodissociation path in H₂⁺ induced by nonuniform optical near fields: Two-step excitation via vibrationally excited states", |
| "atoms": [ |
| { |
| "criterion_id": "F1", |
| "dimension": "F", |
| "points": 0.5, |
| "scientific_requirement": "Establish the indivisible central identity of the supplied reduced non-Born-Oppenheimer (z,R) H2+ Hamiltonian, masses, soft-core parameters and bound-surface vibrational ground state.", |
| "award_conditions": [ |
| "The coupled z,R model retains the specified kinetic masses, soft-core target and bound-surface vibrational ground state; fixed nuclei are not substituted." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-1-2, Eq. (1) and Sec. II: The coupled electronic/nuclear Hamiltonian, reduced masses, soft-core constants and vibrational ground state specify a non-Born-Oppenheimer calculation." |
| ], |
| "rc_relation": "RC0: absence or material invalidity of the central physical object. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "F2", |
| "dimension": "F", |
| "points": 0.5, |
| "scientific_requirement": "Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.", |
| "award_conditions": [ |
| "The shared finite pulse and energy/intensity conversions preserve z+epsilon z^2-epsilon R^2 and the visible uniform/nonuniform cases." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [F1: Establish the indivisible central identity of the supplied reduced non-Born-Oppenheimer (z,R) H2+ Hamiltonian, masses, soft-core parameters and bound-surface vibrational ground state.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-2, Eqs. (2)-(6): The first-order spatial field generates both electronic and nuclear nonuniform interaction terms under the shared finite pulse." |
| ], |
| "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "F3", |
| "dimension": "F", |
| "points": 0.5, |
| "scientific_requirement": "Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.", |
| "award_conditions": [ |
| "The defined observable isolates outgoing nuclear dissociation from electronic ionization and generic norm loss, with reconstructible normalization." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-2, final numerical-method paragraph; p. 023416-3, Fig. 2(c,d): Electronic-boundary loss and outgoing nuclear flow represent different processes. Equivalent nuclear flux or separated-channel constructions are allowed." |
| ], |
| "rc_relation": "RC0: absence or material invalidity of the central physical object. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "O1", |
| "dimension": "O", |
| "points": 0.5, |
| "scientific_requirement": "At the low survey intensity, provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss for at least one control branch, 2.0 or 8.0 eV, presenting its approximate insensitivity to epsilon. One correct control satisfies this local material core; I4 requires identification of both controls.", |
| "award_conditions": [ |
| "At least one low-intensity 2.0 or 8.0 eV control has a valid nuclear-dissociation output showing approximate epsilon insensitivity; this local output does not require both controls.", |
| "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [F2: Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.; F3: Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O2, I1, O3, O4, I2, I3, M3, M4, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-2-4, Fig. 1(a,b), Fig. 3(a,b) and the paragraph interpreting Fig. 3: The 2.0/3.6/8.0 eV branches have three-/two-/one-photon identities; the 2.0 and 8.0 eV controls are approximately insensitive to nonuniformity." |
| ], |
| "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "O2", |
| "dimension": "O", |
| "points": 0.5, |
| "scientific_requirement": "For the low-intensity 3.6 eV branch provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss, resolving the strong leading-quadratic response to epsilon. A local absence of a 2.0/8.0 eV control does not itself fail this atom.", |
| "award_conditions": [ |
| "The low-intensity 3.6 eV nuclear-dissociation output resolves strong nonuniform enhancement with leading quadratic epsilon response, independently of missing control branches.", |
| "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [F2: Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.; F3: Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O3, O4, I2, I3, M3, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Eqs. (8)-(9), Fig. 3(b): The selective 3.6 eV nonuniform response has leading quadratic yield, not a linear probability law." |
| ], |
| "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "O3", |
| "dimension": "O", |
| "points": 0.5, |
| "scientific_requirement": "In the high-intensity 3.6 eV nonuniform/uniform comparison provide a direct identifiable vibrational-excitation state or excited-subspace signal.", |
| "award_conditions": [ |
| "The high-intensity 3.6 eV comparison supplies direct excited-vibrational-state/subspace evidence; a final dissociation yield alone is insufficient.", |
| "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [F2: Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.; F3: Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M3, M4, O4, I2 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(e), and its continuation paragraph on p. 023416-4: Excited vibrational occupation establishes the first stage; the plotted state is representative, not a required state index." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "O4", |
| "dimension": "O", |
| "points": 0.5, |
| "scientific_requirement": "In that high-intensity output family provide subsequent outgoing nuclear motion or functionally equivalent asymptotic nuclear-flow evidence.", |
| "award_conditions": [ |
| "The high-intensity case supplies outgoing nuclear motion/flow or equivalent asymptotic evidence, distinct from electronic loss.", |
| "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [F2: Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.; F3: Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M3, M4, O3, M5 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(c,d), Fig. 1(a) blue pathway and surrounding text: Outgoing nuclear motion follows vibrational excitation and coupling to the repulsive electronic surface; a final yield alone does not identify that sequence." |
| ], |
| "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "I1", |
| "dimension": "I", |
| "points": 0.5, |
| "scientific_requirement": "Explicitly identify in the candidate's 3.6 eV sweep the strong nonuniform response relative to the uniform case and leading-quadratic epsilon dependence.", |
| "award_conditions": [ |
| "The candidate explicitly identifies the 3.6 eV contrast to epsilon=0 and leading quadratic response in their own sweep.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O2: For the low-intensity 3.6 eV branch provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss, resolving the strong leading-quadratic response to epsilon. A local absence of a 2.0/8.0 eV control does not itself fail this atom.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O3, O4, I2, I3, M3, M4, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Eqs. (8)-(9), Fig. 3(b): The selective 3.6 eV nonuniform response has leading quadratic yield, not a linear probability law." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "I2", |
| "dimension": "I", |
| "points": 0.5, |
| "scientific_requirement": "Explicitly identify delayed outgoing nuclear motion in the candidate's high-intensity nonuniform 3.6 eV case and the uniform/nonuniform contrast.", |
| "award_conditions": [ |
| "The candidate identifies delayed nuclear outflow in the nonuniform high-intensity case and its uniform-field contrast.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O4: In that high-intensity output family provide subsequent outgoing nuclear motion or functionally equivalent asymptotic nuclear-flow evidence.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M3, M4, O3, I3, M5 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(c,d), Fig. 1(a) blue pathway and surrounding text: Outgoing nuclear motion follows vibrational excitation and coupling to the repulsive electronic surface; a final yield alone does not identify that sequence." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "I3", |
| "dimension": "I", |
| "points": 0.5, |
| "scientific_requirement": "Identify, using direct state and nuclear-outflow signals, that vibrational excitation precedes outgoing nuclear motion.", |
| "award_conditions": [ |
| "The candidate uses both direct state and outflow signals to establish the ordering of vibrational excitation before dissociation.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O3: In the high-intensity 3.6 eV nonuniform/uniform comparison provide a direct identifiable vibrational-excitation state or excited-subspace signal.; O4: In that high-intensity output family provide subsequent outgoing nuclear motion or functionally equivalent asymptotic nuclear-flow evidence.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M3, M4, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(e), and its continuation paragraph on p. 023416-4: Excited vibrational occupation establishes the first stage; the plotted state is representative, not a required state index." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "I4", |
| "dimension": "I", |
| "points": 0.5, |
| "scientific_requirement": "Identify in the candidate's low-intensity control evidence that both 2.0 and 8.0 eV branches are approximately epsilon insensitive, completing the cross-branch distinction from 3.6 eV.", |
| "award_conditions": [ |
| "The candidate identifies approximate epsilon insensitivity in both low-intensity control energies and distinguishes them from the 3.6 eV branch.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O1: At the low survey intensity, provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss for at least one control branch, 2.0 or 8.0 eV, presenting its approximate insensitivity to epsilon. One correct control satisfies this local material core; I4 requires identification of both controls.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O2, I1, O3, O4, I2, I3, M3, M4, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-2-4, Fig. 1(a,b), Fig. 3(a,b) and the paragraph interpreting Fig. 3: The 2.0/3.6/8.0 eV branches have three-/two-/one-photon identities; the 2.0 and 8.0 eV controls are approximately insensitive to nonuniformity." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M1", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Explain the three-, two- and one-photon channel identities of the 2.0, 3.6 and 8.0 eV branches, respectively, or physically equivalent energy-channel relations.", |
| "award_conditions": [ |
| "The energy-channel explanation correctly assigns three-, two- and one-photon roles to 2.0, 3.6 and 8.0 eV or establishes equivalent energy relations.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [I1: Explicitly identify in the candidate's 3.6 eV sweep the strong nonuniform response relative to the uniform case and leading-quadratic epsilon dependence.; I4: Identify in the candidate's low-intensity control evidence that both 2.0 and 8.0 eV branches are approximately epsilon insensitive, completing the cross-branch distinction from 3.6 eV.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in M2, M3, M4, O3, O4, I2, I3, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-2-4, Fig. 1(a,b), Fig. 3(a,b) and the paragraph interpreting Fig. 3: The 2.0/3.6/8.0 eV branches have three-/two-/one-photon identities; the 2.0 and 8.0 eV controls are approximately insensitive to nonuniformity." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M2", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Use the candidate's differential response and component controls to explain why nonuniformity is pathway selective rather than merely a globally stronger field.", |
| "award_conditions": [ |
| "The selective branch response is explained through a distinct pathway and controls, not by calling the entire nonuniform drive stronger.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [I1: Explicitly identify in the candidate's 3.6 eV sweep the strong nonuniform response relative to the uniform case and leading-quadratic epsilon dependence.; I4: Identify in the candidate's low-intensity control evidence that both 2.0 and 8.0 eV branches are approximately epsilon insensitive, completing the cross-branch distinction from 3.6 eV.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in M1, M3, M4, O3, O4, I2, I3, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-3, Eqs. (7)-(9); p. 023416-4, Fig. 3 discussion: Same-surface electronic parity kills the uniform z matrix element while the even nonuniform terms allow vibrational excitation, explaining pathway selectivity." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M3", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Use same-bound-electronic-surface vibrational matrix elements and parity to explain why the uniform z contribution vanishes whereas nonuniform z^2/R^2 contributions can drive vibrational transitions.", |
| "award_conditions": [ |
| "Electronic parity on the same bound surface makes the uniform z vibrational matrix element vanish but permits the even z^2/R^2 contributions.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, O3, O4, I2, I3, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "The same-surface parity/matrix-element derivation is independently establishable from the model; case execution or another atomic award is not a hard prerequisite." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-3, Eqs. (7)-(9); p. 023416-4, Fig. 3 discussion: Same-surface electronic parity kills the uniform z matrix element while the even nonuniform terms allow vibrational excitation, explaining pathway selectivity." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M4", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Distinguish a transition amplitude linear in epsilon from a leading rate/yield quadratic in epsilon and connect this derivation to the O2 response.", |
| "award_conditions": [ |
| "The derivation distinguishes a linear-in-epsilon transition amplitude from a quadratic leading rate/yield and connects it to the 3.6 eV response.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O2: For the low-intensity 3.6 eV branch provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss, resolving the strong leading-quadratic response to epsilon. A local absence of a 2.0/8.0 eV control does not itself fail this atom.; M3: Use same-bound-electronic-surface vibrational matrix elements and parity to explain why the uniform z contribution vanishes whereas nonuniform z^2/R^2 contributions can drive vibrational transitions.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, I1, M1, M2, O3, O4, I2, I3, M5, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "A missing 2.0/8.0 eV control does not invalidate an independently correct 3.6 eV response. One control can satisfy O1; I4 requires both controls. Photon-channel identification does not license importing uncomputed controls." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Eqs. (8)-(9), Fig. 3(b): The selective 3.6 eV nonuniform response has leading quadratic yield, not a linear probability law." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M5", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Use direct state evidence to explain the first step from the initial vibrational ground state to the excited vibrational manifold.", |
| "award_conditions": [ |
| "Direct state evidence supports the first step from the initial vibrational ground state into excited vibrational content.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O3: In the high-intensity 3.6 eV nonuniform/uniform comparison provide a direct identifiable vibrational-excitation state or excited-subspace signal.; M3: Use same-bound-electronic-surface vibrational matrix elements and parity to explain why the uniform z contribution vanishes whereas nonuniform z^2/R^2 contributions can drive vibrational transitions.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M4, O4, I2, I3, M6 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(e), and its continuation paragraph on p. 023416-4: Excited vibrational occupation establishes the first stage; the plotted state is representative, not a required state index." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M6", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Explain the second step: the excited vibrational manifold couples to a repulsive electronic branch and produces nuclear dissociation.", |
| "award_conditions": [ |
| "The second step connects that excited content to a repulsive electronic branch and the demonstrated nuclear outflow.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [O3: In the high-intensity 3.6 eV nonuniform/uniform comparison provide a direct identifiable vibrational-excitation state or excited-subspace signal.; I2: Explicitly identify delayed outgoing nuclear motion in the candidate's high-intensity nonuniform 3.6 eV case and the uniform/nonuniform contrast.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Preserve independent correct work in O1, I4, O2, I1, M1, M2, M3, M4, I3, M5 and all branches not using the failed premise.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(c,d), Fig. 1(a) blue pathway and surrounding text: Outgoing nuclear motion follows vibrational excitation and coupling to the repulsive electronic surface; a final yield alone does not identify that sequence." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "M8", |
| "dimension": "M", |
| "points": 0.5, |
| "scientific_requirement": "Directly answer whether and how nonuniformity changes dissociation through a physically distinguishable vibrationally mediated route, explaining photon-energy dependence; establish vibrational excitation before dissociation using the candidate's state/time ordering and nuclear outflow, consistently with the response analysis.", |
| "award_conditions": [ |
| "The research answer integrates energy selectivity, parity/amplitude reasoning and direct state-to-outflow ordering into a distinguishable vibrationally mediated route.", |
| "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "All of [M1: Explain the three-, two- and one-photon channel identities of the 2.0, 3.6 and 8.0 eV branches, respectively, or physically equivalent energy-channel relations.; M2: Use the candidate's differential response and component controls to explain why nonuniformity is pathway selective rather than merely a globally stronger field.; M4: Distinguish a transition amplitude linear in epsilon from a leading rate/yield quadratic in epsilon and connect this derivation to the O2 response.; I3: Identify, using direct state and nuclear-outflow signals, that vibrational excitation precedes outgoing nuclear motion.; M5: Use direct state evidence to explain the first step from the initial vibrational ground state to the excited vibrational manifold.; M6: Explain the second step: the excited vibrational manifold couples to a repulsive electronic branch and produces nuclear dissociation.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.", |
| "Direct vibrational-state evidence and outgoing nuclear evidence are separate facts. Their ordering needs both; one absent signal does not erase the other valid signal or an independent parity derivation." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article pp. 023416-3-4, Fig. 2(c-e), Eqs. (8)-(9) and Summary: The causal answer combines selective response, direct excited-state evidence and subsequent nuclear dissociation; source narrative cannot replace submitted evidence." |
| ], |
| "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "V1", |
| "dimension": "V", |
| "points": 0.5, |
| "scientific_requirement": "When candidate work triggers a concrete material risk, discriminate ionization/norm-loss confusion, boundary/absorber/timing distortion, saturation or an unidentifiable vibrational alternative, or honestly restrict the claim.", |
| "award_conditions": [ |
| "A candidate-triggered ionization, absorber/timing, saturation or alternative-pathway risk is discriminated or the threatened conclusion restricted; no trigger uses the existing N/A rule." |
| ], |
| "applicability_and_na": [ |
| "Activate only for a concrete material risk arising from the candidate method, data, anomaly or claim; no fixed test is required in the absence of a trigger.", |
| "Without a triggered risk record N/A and award 0.5 without positive validation evidence; this neither blocks RC4 nor triggers RC3.", |
| "When triggered, accept functionally equivalent discriminating evidence or a justified restriction of the threatened claim." |
| ], |
| "dependencies": [ |
| "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-2, first-order field-model and absorber paragraphs; p. 023416-4, Summary: Finite-domain nuclear/electronic separation and the truncated spatial expansion bound the claim. Additional validation is required only for an actual material risk, not by source solver choice." |
| ], |
| "rc_relation": "RC3: an unresolved applicable material risk, only after signals and principal mechanisms are substantially supported and all six risk-proof requirements are met. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| }, |
| { |
| "criterion_id": "V2", |
| "dimension": "V", |
| "points": 0.5, |
| "scientific_requirement": "Limit conclusions to the reduced first-order nonuniform-field model, visible pulse family and simulated domain; do not claim an arbitrary-field or experimentally universal mechanism.", |
| "award_conditions": [ |
| "The conclusion is bounded to the reduced first-order nonuniform interaction, specified pulse family and demonstrated simulation domain." |
| ], |
| "applicability_and_na": [ |
| "Applicable to the stated scientific commission; N/A is not permitted." |
| ], |
| "dependencies": [ |
| "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.", |
| "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty." |
| ], |
| "equivalent_evidence": [ |
| "Accept any valid TDSE propagator and field-free eigensolver; converged large-R absorption, nuclear flux or asymptotic nuclear projection can define dissociation while keeping electronic ionization distinct.", |
| "A direct excited-subspace population, state-resolved density or equally discriminating state/pathway observable can replace the canonical single-state population; a different compact evidence package can establish the same ordering.", |
| "Accept equivalent quantitative response summaries and declared common scaling, without exact source colors, axes, sampling, absolute yield, normalization or panel layout. A proposed control must demonstrate its discriminating physical function." |
| ], |
| "source_support": [ |
| "Yamaguchi and Nobusada (2016), article p. 023416-2, first-order field-model and absorber paragraphs; p. 023416-4, Summary: Finite-domain nuclear/electronic separation and the truncated spatial expansion bound the claim. Additional validation is required only for an actual material risk, not by source solver choice." |
| ], |
| "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure." |
| } |
| ], |
| "case_scientific_rules": [ |
| "The nuclear coordinate must remain dynamical in the coupled (z,R) TDSE. A fixed-nuclei surrogate, electronic ionization probability or total norm loss is not nuclear dissociation. Include both electronic and nuclear nonuniform terms in the supplied interaction.", |
| "At 1.0e12 W/cm^2 the 2.0 and 8.0 eV dissociation controls are approximately insensitive to nonuniformity, while 3.6 eV changes strongly with leading epsilon^2 behavior. These branch identities and differential relations, not exact slopes, sample points or absolute yields, are the anchors.", |
| "At 3.0e13 W/cm^2 and 3.6 eV the uniform/nonuniform contrast includes delayed outgoing nuclear motion associated with a prior rise of vibrationally excited population. A final yield contrast alone does not directly establish the pathway.", |
| "Parity on the bound electronic surface makes the relevant uniform z matrix element vanish. Nonuniform z^2 and R^2 matrix elements are generally finite, so amplitude is proportional to epsilon and rate to epsilon^2. Excited vibrational states subsequently couple by a dipole-allowed transition to the repulsive electronic state; that second transition is not the leading origin of epsilon dependence.", |
| "The named representative vibrational state v = 18 is not compulsory: the source reports similar behavior in other excited vibrational states. Direct state/subspace evidence must still discriminate excitation and its temporal relation to outflow.", |
| "Bind uniform and nonuniform cases by physical labels, never source colors: the source caption color wording conflicts with its legend/curves/discussion. Common display scaling is allowed, but mixing nuclear dissociation with electronic loss is not.", |
| "Concrete risks include ionization/dissociation confusion, nuclear-boundary contamination, nonidentifiable state attribution, saturation or inadequate control leverage, distorted asymptotic timing and a viable alternative direct pathway. Require a discriminating resolution only when the candidate work actually raises the risk.", |
| "The score is the sum of twenty material-core criteria, each worth either 0 or 0.5, for a maximum of 10.0. Research Closure is descriptive and never caps, floors, rescales or repairs the score.", |
| "Judge physical object identity and correctness before display similarity. For each output record object_valid, presentation_adequate and claim_adequate separately; all three must hold for its atomic award. A presentation or claim defect alone is not evidence that an existing physical object is absent or invalid.", |
| "Candidate-created data, candidate presentation, candidate identification, physical inference and validation are distinct evidential acts. Examiner inspection or reconstruction may verify an object but cannot create missing candidate identification, reasoning or risk resolution.", |
| "A dependency propagates only the failed necessary physical fact, not the whole upstream atomic verdict or unrelated missing detail. Name the failed premise, the downstream obligation needing it, and why independent candidate-presented evidence does not establish it. Preserve unaffected branches, independent work and honest scope.", |
| "Numerical reliability has no separate generic penalty. Charge a defect where it materially damages a physical object or evidence, and a dependent conclusion only when that same defect makes the conclusion false or unsupported. Missing a preferred convergence study, control, solver or named self-check is not itself a failure.", |
| "Risk-triggered validation applies only to a concrete material risk arising from the candidate method, data, anomaly or claim. With no such risk record N/A and award the fixed atomic credit without treating it as positive validation evidence; N/A does not block RC4. Unconditional scope obligations cannot be N/A.", |
| "Before assigning RC3 establish all six: the concrete failure mode; its origin in candidate work; the fair task or standard-knowledge basis; the threatened central conclusion; why submitted evidence cannot expose or exclude it; and examples of functionally equivalent discriminating evidence or an honest scope restriction that would resolve it. A generic possibility of further testing is insufficient.", |
| "Use bounded examiner-side source/reference readback only to resolve a material scientific uncertainty, not to demand pixels, an undeclared tolerance or additional candidate deliverables. A provisional score of at least 9.0 or provisional RC4 triggers one bounded central-output-anchor check and one principal-mechanism-link check. Reference conflict or insufficiency remains an explicit unresolved decision, not an invented target.", |
| "Evaluate closure-role trigger facts independently of atomic awards and select the most severe failed required role across all indispensable and co-primary claims. Supporting claims do not independently set overall closure. A point loss alone is not a closure-gate fact.", |
| "A valid candidate-caused incomplete or timeout attempt with no scientifically assessable required submission has score 0.0 and RC0 before N/A bookkeeping. Assessable incomplete work is graded from the submitted evidence; unsubmitted scratch or logs do not become scientific answers.", |
| "The interaction is $V_{\\rm ext}=E_0f(t)\\sin(\\omega t)[z+\\epsilon z^2-\\epsilon R^2]$ (Eq. (5)). On the same even electronic surface, $\\langle v^{\\prime}|z|v\\rangle=0$, while $\\langle v^{\\prime}|V_{\\rm ext}|v\\rangle\\propto\\epsilon$ generally survives through $z^2$ and $R^2$; hence $T_{v\\to v^{\\prime}}\\propto\\epsilon^2$ in the leading-response regime (Eqs. (7)-(9)), not universally at saturation.", |
| "A nuclear diagnostic may use $P(R,t)=\\int dz\\,|\\Psi(z,R,t)|^2$ and separated outgoing R-flux/loss; electronic z-loss alone is not dissociation. A direct state diagnostic is $P_{v^{\\prime}}(t)=|\\langle\\phi_{v^{\\prime}}|\\Psi(t)\\rangle|^2$ or an identified excited-subspace equivalent. Fig. 2(c-e) supplies canonical examples, not a compulsory absorber radius or state label." |
| ], |
| "closure_requirements": { |
| "RC0": [ |
| "Required claim CL0, central object: All of [F1: Establish the indivisible central identity of the supplied reduced non-Born-Oppenheimer (z,R) H2+ Hamiltonian, masses, soft-core parameters and bound-surface vibrational ground state.; F3: Define a reconstructible nuclear-dissociation observable physically distinct from electronic ionization and undifferentiated norm loss.]. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "Apply for a missing or materially invalid required central object; a presentation-only or claim-only defect does not establish object invalidity.", |
| "No scientifically assessable required submission gives the terminal 0.0/RC0 disposition." |
| ], |
| "RC1": [ |
| "Required claim CL1, indispensable component: All of [F2: Establish the complete shared pulse family, energy/intensity conversion and interaction z + epsilon z^2 - epsilon R^2; local pulse/case validity is judged in the affected output atom.; O1: At the low survey intensity, provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss for at least one control branch, 2.0 or 8.0 eV, presenting its approximate insensitivity to epsilon. One correct control satisfies this local material core; I4 requires identification of both controls.; O2: For the low-intensity 3.6 eV branch provide physically valid reconstructible nuclear-dissociation evidence distinct from electronic loss, resolving the strong leading-quadratic response to epsilon. A local absence of a 2.0/8.0 eV control does not itself fail this atom.]. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "Required claim CL2, indispensable component: O4: In that high-intensity output family provide subsequent outgoing nuclear motion or functionally equivalent asymptotic nuclear-flow evidence.. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "The central object is established but a required physical component is absent or materially invalid. Preserve independent valid branches; do not invent a hidden canonical plot, sampling grid or implementation duty." |
| ], |
| "RC2": [ |
| "Required claim CL1, principal mechanism: All of [M1: Explain the three-, two- and one-photon channel identities of the 2.0, 3.6 and 8.0 eV branches, respectively, or physically equivalent energy-channel relations.; M2: Use the candidate's differential response and component controls to explain why nonuniformity is pathway selective rather than merely a globally stronger field.; M3: Use same-bound-electronic-surface vibrational matrix elements and parity to explain why the uniform z contribution vanishes whereas nonuniform z^2/R^2 contributions can drive vibrational transitions.; M4: Distinguish a transition amplitude linear in epsilon from a leading rate/yield quadratic in epsilon and connect this derivation to the O2 response.]. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "Required claim CL2, principal mechanism: All of [M5: Use direct state evidence to explain the first step from the initial vibrational ground state to the excited vibrational manifold.; M6: Explain the second step: the excited vibrational manifold couples to a repulsive electronic branch and produces nuclear dissociation.]. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "Required claim CL3, principal mechanism: M8: Directly answer whether and how nonuniformity changes dissociation through a physically distinguishable vibrationally mediated route, explaining photon-energy dependence; establish vibrational excitation before dissociation using the candidate's state/time ordering and nuclear outflow, consistently with the response analysis.. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "Required signal objects/components exist, but an indispensable principal mechanism or co-primary scientific conclusion is missing, wrong or unsupported by candidate-presented and identified evidence. Correct data do not let an examiner supply missing reasoning." |
| ], |
| "RC3": [ |
| "Required claim CL3, material validation: V1: When candidate work triggers a concrete material risk, discriminate ionization/norm-loss confusion, boundary/absorber/timing distortion, saturation or an unidentifiable vibrational alternative, or honestly restrict the claim.. Judge role-trigger facts, not the sum or pattern of atomic scores.", |
| "All indispensable signal and principal-mechanism roles are substantially supported, but a concrete triggered material risk remains unresolved and inadequately restricted.", |
| "Establish the failure mode, candidate origin, fair task/knowledge basis, threatened central conclusion, insufficiency of submitted evidence, and equivalent resolution or scope restriction. Missing an examiner-preferred check alone never suffices." |
| ], |
| "RC4": [ |
| "Every nonempty required role in every indispensable and co-primary claim above is scientifically established from candidate evidence, with the correct case/model/observable identities and evidence-bounded conclusion.", |
| "All applicable material risks are discriminated or honestly restricted; no unresolved material ambiguity remains. Risk N/A does not block closure or supply positive validation evidence. Honest limitations cannot repair a false signal or mechanism.", |
| "Select the most severe failed required role if any; otherwise RC4. No score threshold, score ceiling or required display/solver checklist determines this classification." |
| ] |
| }, |
| "references": [ |
| { |
| "citation": "Maiku Yamaguchi and Katsuyuki Nobusada. 2016. Photodissociation path in H₂⁺ induced by nonuniform optical near fields: Two-step excitation via vibrationally excited states. Physical Review A, 93, 023416.", |
| "url": "https://doi.org/10.1103/PhysRevA.93.023416", |
| "scientific_scope": "Reduced non-Born-Oppenheimer nuclear dissociation, energy-selective nonuniform response and the state-resolved vibrationally mediated route. Absolute source yields, exact fits and one named state are not hidden numerical targets.", |
| "anchors": [ |
| "article pp. 023416-1-2, Eq. (1) and Sec. II", |
| "article p. 023416-2, Eqs. (2)-(6)", |
| "article p. 023416-2, final numerical-method paragraph; p. 023416-3, Fig. 2(c,d)", |
| "article pp. 023416-2-4, Fig. 1(a,b), Fig. 3(a,b) and the paragraph interpreting Fig. 3", |
| "article pp. 023416-3-4, Eqs. (8)-(9), Fig. 3(b)", |
| "article pp. 023416-3-4, Fig. 2(e), and its continuation paragraph on p. 023416-4", |
| "article pp. 023416-3-4, Fig. 2(c,d), Fig. 1(a) blue pathway and surrounding text", |
| "article p. 023416-3, Eqs. (7)-(9); p. 023416-4, Fig. 3 discussion", |
| "article pp. 023416-3-4, Fig. 2(c-e), Eqs. (8)-(9) and Summary", |
| "article p. 023416-2, first-order field-model and absorber paragraphs; p. 023416-4, Summary" |
| ] |
| } |
| ] |
| } |
|
|
