{"title":"将狄拉克方程的 R 矩阵变量法应用于 Be 原子","authors":"Chris H. Greene, Miguel A. Alarcón","doi":"arxiv-2408.09329","DOIUrl":null,"url":null,"abstract":"This paper presents an implementation of the non-iterative eigenchannel\nR-matrix method for the Dirac equation. It includes a brief introduction,\nimplementation details, and results for the photoionization cross-section of\nthe beryllium atom. Beryllium is a convenient test due to small but significant\nrelativistic effects. The current calculation aligns with other R-matrix\ncalculations and experiments. It observes the change in the Fano line shape of\nthe (2pnd)1P series and, reveals a previously unnoticed coupling between\ntriplet and singlet series observable in the ground state photoionization\ncross-section.","PeriodicalId":501039,"journal":{"name":"arXiv - PHYS - Atomic Physics","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of the Variational R-matrix Method for the Dirac Equation to the Be Atom\",\"authors\":\"Chris H. Greene, Miguel A. Alarcón\",\"doi\":\"arxiv-2408.09329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an implementation of the non-iterative eigenchannel\\nR-matrix method for the Dirac equation. It includes a brief introduction,\\nimplementation details, and results for the photoionization cross-section of\\nthe beryllium atom. Beryllium is a convenient test due to small but significant\\nrelativistic effects. The current calculation aligns with other R-matrix\\ncalculations and experiments. It observes the change in the Fano line shape of\\nthe (2pnd)1P series and, reveals a previously unnoticed coupling between\\ntriplet and singlet series observable in the ground state photoionization\\ncross-section.\",\"PeriodicalId\":501039,\"journal\":{\"name\":\"arXiv - PHYS - Atomic Physics\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Atomic Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.09329\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Atomic Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09329","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文介绍了针对狄拉克方程的非迭代特征通道 R 矩阵方法的实现。它包括简要介绍、实现细节和铍原子光电离截面的结果。铍原子的相对论效应小而显著，因此是一个方便的测试对象。目前的计算与其他 R-matrix 计算和实验一致。它观察到了 (2pnd)1P 系列法诺线形状的变化，并揭示了在基态光离子化截面中可观察到的三重子和单重子系列之间以前未被注意到的耦合。
Application of the Variational R-matrix Method for the Dirac Equation to the Be Atom
This paper presents an implementation of the non-iterative eigenchannel
R-matrix method for the Dirac equation. It includes a brief introduction,
implementation details, and results for the photoionization cross-section of
the beryllium atom. Beryllium is a convenient test due to small but significant
relativistic effects. The current calculation aligns with other R-matrix
calculations and experiments. It observes the change in the Fano line shape of
the (2pnd)1P series and, reveals a previously unnoticed coupling between
triplet and singlet series observable in the ground state photoionization
cross-section.
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