Second-order corrections of orders $mα^6$ and $mα^6(m/M)$ to the spin-averaged energy in the HD$^+$ and H$_2^+$ ions
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| Format: | Preprint |
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2025
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| _version_ | 1866908425532735488 |
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| author | Korobov, Vladimir I. Karr, Jean-Philippe Zhong, Zhen-Xiang |
| author_facet | Korobov, Vladimir I. Karr, Jean-Philippe Zhong, Zhen-Xiang |
| contents | The relativistic second-order corrections at orders $mα^6$ and $mα^6(m/M)$ in hydrogen molecular ions are calculated. Convergence of numerical results is studied, which allows estimating the relative numerical uncertainty to be less then $10^{-5}$. This accuracy is sufficient to enable future improvement of theoretical predictions beyond the 1 ppt (part-per-trillion) precision level for the ro-vibrational transition frequencies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22164 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second-order corrections of orders $mα^6$ and $mα^6(m/M)$ to the spin-averaged energy in the HD$^+$ and H$_2^+$ ions Korobov, Vladimir I. Karr, Jean-Philippe Zhong, Zhen-Xiang Atomic Physics The relativistic second-order corrections at orders $mα^6$ and $mα^6(m/M)$ in hydrogen molecular ions are calculated. Convergence of numerical results is studied, which allows estimating the relative numerical uncertainty to be less then $10^{-5}$. This accuracy is sufficient to enable future improvement of theoretical predictions beyond the 1 ppt (part-per-trillion) precision level for the ro-vibrational transition frequencies. |
| title | Second-order corrections of orders $mα^6$ and $mα^6(m/M)$ to the spin-averaged energy in the HD$^+$ and H$_2^+$ ions |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2506.22164 |