# Scientific Sources — Case08

## References

XuanYang Lai, SongPo Xu, ShaoGang Yu, MengWen Shi, Wei Quan, and XiaoJun Liu. 2021. *Revealing the wave-function-dependent zeptosecond birth time delay in molecular photoionization with double-slit interference minima*. *Physical Review A*, 104, 043105. [Source](https://doi.org/10.1103/PhysRevA.104.043105)

Revealing the wave-function-dependent zeptosecond birth time delay in molecular photoionization with double-slit interference minima

## 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, F2 | Lai et al. (2021), article p.043105-2, Eqs.(1),(2) and theoretical-method paragraphs: spatially propagating pulse, 2D soft-core fixed-nuclei TDSE and outgoing-wave Fourier extraction. |
| F3, M1, M2 | Lai et al. (2021), article p.043105-3, Eq.(3), period-to-emission-separation paragraph and interference-minima/background discussion: geometric plus temporal phase, phase velocity and quantitative inversion. Antisymmetric pi phase is explicit on p.043105-4. |
| O1, I1 | Lai et al. (2021), article pp.043105-2-3, Fig.1(a-c): symmetric-ground-state one-photon momentum and angular interference; source maxima are background-sensitive. |
| O2, I2 | Lai et al. (2021), article pp.043105-3-4, Fig.1(d-f): antisymmetric first-excited-state signal, central minimum and parity-shifted interference. |
| O3, I3, M3, M4 | Lai et al. (2021), article pp.043105-3-4, Fig.1(c,f), Eq.(3), Fig.2: fitted effective separations about 1.77/2.64 a.u. and state-specific delays below/above R/c. These canonical principal-branch values are not permission to select aliases by proximity. |
| O4, I4, M5, M6 | Lai et al. (2021), article p.043105-4, Fig.3(a,b) antisymmetric/outward and Fig.3(c,d) symmetric/inter-centre distributions, plus following explanation: bound density shifts effective emission geometry away from nuclear positions. |
| M7, V1, V2 | Lai et al. (2021), article pp.043105-3-4, minima/background explanation, Eq.(3), Fig.2 and paragraph noting enhanced soft-core state dependence. Scope/alias/alternative tests are task-defined safeguards; one canonical fit or radial reduction is not compulsory. |

## Formula and convention notes

For F3/O3/M1-M4, the phase model already stated is article p.043105-3, Eq.(3). Equivalently,
$$\Phi(\mu)=pR_w\mu-E\tau_b+\phi_{\rm parity},\quad
\Delta\mu=\frac{2\pi}{pR_w},\quad
\phi_{\rm parity}=0\ (\text{symmetric}),\ \pi\ (\text{antisymmetric}).$$
Here $E/p=v_{\rm ph}$ is the electron phase velocity under the source convention, not an independently substituted group velocity. An observed phase fixes a delay equivalence class modulo $2\pi/E$; selecting a principal delay needs a stated branch/physical justification, not nearest-reference-value matching. Source Fig.2 compares each inferred delay with its own $R_w/c$ and with bare $R/c$; those are different physical scales.

## 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.