Convergence-acceleration approach to partial-wave expansion of two-electron self-energy contributions to the Lamb shift
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910401710522368 |
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| author | Malyshev, A. V. Prokhorchuk, E. A. Shabaev, V. M. |
| author_facet | Malyshev, A. V. Prokhorchuk, E. A. Shabaev, V. M. |
| contents | Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated in [J. Sapirstein and K. T. Cheng, Phys. Rev. A 108, 042804 (2023)], we propose a modification of the standard procedure for calculating the contributions of two-electron self-energy diagrams. The performance of the method is studied by evaluating the corresponding corrections to the binding energies of He-like ions and by comparing the obtained results with the state-of-the-art values available in the literature: our calculations involving a much smaller number of partial waves show an improvement in accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence-acceleration approach to partial-wave expansion of two-electron self-energy contributions to the Lamb shift Malyshev, A. V. Prokhorchuk, E. A. Shabaev, V. M. Atomic Physics Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated in [J. Sapirstein and K. T. Cheng, Phys. Rev. A 108, 042804 (2023)], we propose a modification of the standard procedure for calculating the contributions of two-electron self-energy diagrams. The performance of the method is studied by evaluating the corresponding corrections to the binding energies of He-like ions and by comparing the obtained results with the state-of-the-art values available in the literature: our calculations involving a much smaller number of partial waves show an improvement in accuracy. |
| title | Convergence-acceleration approach to partial-wave expansion of two-electron self-energy contributions to the Lamb shift |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2404.04742 |