Precise ab initio calculations of $^4$He($1snp \, ^3P_J$) fine structure of high Rydberg states
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908622716403712 |
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| author | Fang, Hao Chi, Jing Qi, Xiao-Qiu Zhang, Yong-Hui Tang, Li-Yan Shi, Ting-Yun |
| author_facet | Fang, Hao Chi, Jing Qi, Xiao-Qiu Zhang, Yong-Hui Tang, Li-Yan Shi, Ting-Yun |
| contents | High-precision measurements of the fine-structure splittings in helium high Rydberg states have been reported, yet corresponding ab initio benchmarks for direct comparison remain unavailable. In this work, we extend the correlated B-spline basis function (C-BSBF) method to calculate the fine-structure splittings of high Rydberg states in $^4$He. The calculations include the $mα^4$- and $mα^5$-order contributions, the singlet-triplet mixing effect, and estimated spin-dependent $mα^6$-order corrections obtained using a $1/n^3$ scaling approximation. High-precision ab initio results are obtained for principal quantum numbers $n=24$-37 with kilohertz-level accuracy and further extended to $n=45$-51 by extrapolation and fitting. The theoretical results show excellent agreement with quantum-defect theory (QDT) predictions and allow direct comparison with experimental measurements. Additionally, the discrepancy observed at $n=34$ is expected to be clarified with improved experimental precision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27405 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Precise ab initio calculations of $^4$He($1snp \, ^3P_J$) fine structure of high Rydberg states Fang, Hao Chi, Jing Qi, Xiao-Qiu Zhang, Yong-Hui Tang, Li-Yan Shi, Ting-Yun Atomic Physics High-precision measurements of the fine-structure splittings in helium high Rydberg states have been reported, yet corresponding ab initio benchmarks for direct comparison remain unavailable. In this work, we extend the correlated B-spline basis function (C-BSBF) method to calculate the fine-structure splittings of high Rydberg states in $^4$He. The calculations include the $mα^4$- and $mα^5$-order contributions, the singlet-triplet mixing effect, and estimated spin-dependent $mα^6$-order corrections obtained using a $1/n^3$ scaling approximation. High-precision ab initio results are obtained for principal quantum numbers $n=24$-37 with kilohertz-level accuracy and further extended to $n=45$-51 by extrapolation and fitting. The theoretical results show excellent agreement with quantum-defect theory (QDT) predictions and allow direct comparison with experimental measurements. Additionally, the discrepancy observed at $n=34$ is expected to be clarified with improved experimental precision. |
| title | Precise ab initio calculations of $^4$He($1snp \, ^3P_J$) fine structure of high Rydberg states |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2510.27405 |