Shape resonances in photoionization cross sections and time delay
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911474124849152 |
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| author | Kheifets, Anatoli S. Catsamas, Stephen |
| author_facet | Kheifets, Anatoli S. Catsamas, Stephen |
| contents | Shape resonances in photoionization of atoms and molecules arise from a particular geometry of the ionic potential which traps the receding photoelectron in a quasi-bound state in a particular partial wave. This mechanism allows us to connect the photoionization cross section in the resonant region with the photoelectron scattering phase in this partial wave by a simple formula $σ\propto \sin^2δ_\ell$. Due to this relation, the phase $δ_\ell$ can be extracted from an experimentally known cross section and then converted to the photoelectron group delay (Wigner time delay) $τ_{\rm W} = \partial δ_\ell/\partial E$ which is measurable by recently developed laser interferometric techniques. Such a direct connection of the photoionization cross section and the time delay is a fundamental property of shape resonances which provides a comprehensive test of novel measurements against a large body of older synchrotron data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15892 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Shape resonances in photoionization cross sections and time delay Kheifets, Anatoli S. Catsamas, Stephen Atomic Physics Atomic and Molecular Clusters Shape resonances in photoionization of atoms and molecules arise from a particular geometry of the ionic potential which traps the receding photoelectron in a quasi-bound state in a particular partial wave. This mechanism allows us to connect the photoionization cross section in the resonant region with the photoelectron scattering phase in this partial wave by a simple formula $σ\propto \sin^2δ_\ell$. Due to this relation, the phase $δ_\ell$ can be extracted from an experimentally known cross section and then converted to the photoelectron group delay (Wigner time delay) $τ_{\rm W} = \partial δ_\ell/\partial E$ which is measurable by recently developed laser interferometric techniques. Such a direct connection of the photoionization cross section and the time delay is a fundamental property of shape resonances which provides a comprehensive test of novel measurements against a large body of older synchrotron data. |
| title | Shape resonances in photoionization cross sections and time delay |
| topic | Atomic Physics Atomic and Molecular Clusters |
| url | https://arxiv.org/abs/2211.15892 |