Scientific Sources — Case15
References
Zhao-Han Zhang and Feng He. 2021. Photoionization of H₂⁺ beyond the dipole approximation with zeptosecond time resolution. Physical Review A, 103, 033112. Source
Photoionization of H₂⁺ beyond the dipole approximation with zeptosecond time resolution
Criterion-to-source crosswalk
Article page identifiers below are journal pages, not PDF viewer indices. Supplemental pages are explicitly marked. The crosswalk distinguishes direct source facts, mathematical entailments and task-defined evidence duties. Original images and PDFs are referenced only; none are reproduced.
| Criteria | Source locations, scientific use and limits |
|---|---|
| F1 | Zhang and He (2021), article pp.033112-2-3, Eqs.(1),(4)-(9): light-cone nondipole amplitude, gerade initial molecular state and weak-field LCAO limit with field-free Ip matching. |
| F2 | Zhang and He (2021), article p.033112-2, Eqs.(2),(3) and 2D soft-core/energy-matching paragraphs: independent fixed-nuclei TDSE. Article p.033112-4 Fig.3 caption explicitly uses A0=1.0 for TDSE and 0.01 for NSFA. |
| F3 | Zhang and He (2021), article p.033112-3, longitudinal-marginal paragraphs and stationary central-peak definition; Eq.(9),(10) for angular branch. The central maximum is not generally a mean. |
| F4, M1, M3 | Zhang and He (2021), article pp.033112-2-3, Eqs.(4)-(12), and p.033112-4 bound-state phase paragraph: light-front interference phase includes photon momentum and Ip, with separated asymptote (Ek+Ip)/c. |
| O1, I1, M2 | Zhang and He (2021), article pp.033112-3-4, Fig.2(a,b), Eq.(9), compact-density/diffraction discussion: broad compact R=2 signal versus dense R=10 two-centre fringes and propagation-direction displacement. |
| O2, I2, M5 | Zhang and He (2021), article pp.033112-3-5, Eqs.(10)-(12), Fig.3 and compact/separated interpretation: stable central branch approaches omega/c at large separation; a hidden switch to another lobe does not establish timing. |
| O3, I3, M4 | Zhang and He (2021), article p.033112-5, Fig.5, caption and projected R*cos(beta) paragraph: orientation-dependent central angular signal at R=2 and 10. Orientation may use the weak-field branch; an off-axis TDSE must rotate the geometry consistently. |
| O4, M6 | Zhang and He (2021), article p.033112-4, Fig.3 caption and NSFA/TDSE comparison paragraph: distinct-amplitude models agree in structural single-photon central shift, not pointwise matched-intensity spectra. |
| M7, V1, V2 | Zhang and He (2021), article pp.033112-2-5, effective-dimensional fixed-nuclei model, compact/separated discussion and Sec.IV: relative timing remains molecular-state/branch dependent. Extraction alternatives and claim limits are task-defined; no universal absolute clock or source transition coordinate is compulsory. |
Formula and convention notes
For F1/F4/M1/M3-M4, article pp.033112-2-3, Eqs.(4)-(9), the nondipole canonical momentum is The weak-field gerade interference factor contains $1+\cos[pR\cos\alpha-kR]$, $k=\omega/c$, with the full molecular envelope retained. Thus the separated central phase gives $p\cos\alpha_0\to\omega/c$, using $\omega=E_k+I_p$, not only $E_k/c$. At angle beta to propagation, the light-front geometric separation is $R\cos\beta$. A delay inferred from this phase must retain its energy and branch conventions; the envelope shifts a compact central maximum away from a pure interference maximum. Source Eq.(3) is attractive; the subsequently typeset soft-core model must retain negative attractive terms even where its prose formula omits signs.
Scope of the source anchors
The locators identify scientific objects and mechanisms, not compulsory figure layouts, solver settings, exact grids, pointwise tolerances or a fixed evidence package. Canonical examples may be replaced by functionally equivalent evidence subject to the rubric. Source readback verifies the candidate's science; it cannot supply missing candidate presentation, identification or inference. Reporting, applicability/N/A and descriptive Research Closure duties remain those stated in the rubric and task.