Bing-Bing Li , Lei Wu , Deng-Hong Zhang , Chen-Zhong Dong , Jun Jiang
{"title":"类硼离子中n = 2态的能级和超精细结构常数","authors":"Bing-Bing Li , Lei Wu , Deng-Hong Zhang , Chen-Zhong Dong , Jun Jiang","doi":"10.1016/j.jqsrt.2025.109573","DOIUrl":null,"url":null,"abstract":"<div><div>The atomic structure parameters of highly charged ions(HCIs) are of great importance in nuclear fusion research. L-shell ions of high-Z elements, such as boron-like ions, were used to diagnose these hot plasmas. The energy levels and hyperfine structures constants for the 1s<sup>2</sup>2s<sup>2</sup>2p, 1s<sup>2</sup>2s2p<sup>2</sup>, and 1s<sup>2</sup>2p<sup>3</sup> of boron-like ions with <span><math><mi>Z</mi></math></span>= 36, 39, 40, 46, 49, 56, 57 and 79 are calculated using the multiconfiguration Dirac–Hartree–Fock (MCDHF) method and Model quantum electrodynamics (QED) method. The contributions of the frequency independent and dependent Breit interactions, nuclear recoil effect, and QED effects are discussed in detail. We find that for energy level of low-lying states of low atomic number <span><math><mi>Z</mi></math></span> ions, the contribution of the Breit interactions comes mainly from frequency independent contributions. As <span><math><mi>Z</mi></math></span> increases, the frequency dependent corrections become important. Especially for <span><math><mrow><mn>2</mn><mi>s</mi><mn>2</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> <span><math><mrow><msup><mrow></mrow><mrow><mn>4</mn></mrow></msup><msub><mrow><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math></span> level, the corrections are more than 30% of the total Breit interactions.</div></div>","PeriodicalId":16935,"journal":{"name":"Journal of Quantitative Spectroscopy & Radiative Transfer","volume":"345 ","pages":"Article 109573"},"PeriodicalIF":1.9000,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The energy levels and Hyperfine structures constants for n = 2 states in boron-like ions\",\"authors\":\"Bing-Bing Li , Lei Wu , Deng-Hong Zhang , Chen-Zhong Dong , Jun Jiang\",\"doi\":\"10.1016/j.jqsrt.2025.109573\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The atomic structure parameters of highly charged ions(HCIs) are of great importance in nuclear fusion research. L-shell ions of high-Z elements, such as boron-like ions, were used to diagnose these hot plasmas. The energy levels and hyperfine structures constants for the 1s<sup>2</sup>2s<sup>2</sup>2p, 1s<sup>2</sup>2s2p<sup>2</sup>, and 1s<sup>2</sup>2p<sup>3</sup> of boron-like ions with <span><math><mi>Z</mi></math></span>= 36, 39, 40, 46, 49, 56, 57 and 79 are calculated using the multiconfiguration Dirac–Hartree–Fock (MCDHF) method and Model quantum electrodynamics (QED) method. The contributions of the frequency independent and dependent Breit interactions, nuclear recoil effect, and QED effects are discussed in detail. We find that for energy level of low-lying states of low atomic number <span><math><mi>Z</mi></math></span> ions, the contribution of the Breit interactions comes mainly from frequency independent contributions. As <span><math><mi>Z</mi></math></span> increases, the frequency dependent corrections become important. Especially for <span><math><mrow><mn>2</mn><mi>s</mi><mn>2</mn><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> <span><math><mrow><msup><mrow></mrow><mrow><mn>4</mn></mrow></msup><msub><mrow><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></math></span> level, the corrections are more than 30% of the total Breit interactions.</div></div>\",\"PeriodicalId\":16935,\"journal\":{\"name\":\"Journal of Quantitative Spectroscopy & Radiative Transfer\",\"volume\":\"345 \",\"pages\":\"Article 109573\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2025-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Quantitative Spectroscopy & Radiative Transfer\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022407325002353\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Quantitative Spectroscopy & Radiative Transfer","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022407325002353","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
The energy levels and Hyperfine structures constants for n = 2 states in boron-like ions
The atomic structure parameters of highly charged ions(HCIs) are of great importance in nuclear fusion research. L-shell ions of high-Z elements, such as boron-like ions, were used to diagnose these hot plasmas. The energy levels and hyperfine structures constants for the 1s22s22p, 1s22s2p2, and 1s22p3 of boron-like ions with = 36, 39, 40, 46, 49, 56, 57 and 79 are calculated using the multiconfiguration Dirac–Hartree–Fock (MCDHF) method and Model quantum electrodynamics (QED) method. The contributions of the frequency independent and dependent Breit interactions, nuclear recoil effect, and QED effects are discussed in detail. We find that for energy level of low-lying states of low atomic number ions, the contribution of the Breit interactions comes mainly from frequency independent contributions. As increases, the frequency dependent corrections become important. Especially for level, the corrections are more than 30% of the total Breit interactions.
期刊介绍:
Papers with the following subject areas are suitable for publication in the Journal of Quantitative Spectroscopy and Radiative Transfer:
- Theoretical and experimental aspects of the spectra of atoms, molecules, ions, and plasmas.
- Spectral lineshape studies including models and computational algorithms.
- Atmospheric spectroscopy.
- Theoretical and experimental aspects of light scattering.
- Application of light scattering in particle characterization and remote sensing.
- Application of light scattering in biological sciences and medicine.
- Radiative transfer in absorbing, emitting, and scattering media.
- Radiative transfer in stochastic media.