QED corrections of orders $mα^6$ and $mα^6(m/M)$ for HD$^+$ rovibrational transitions beyond Born-Oppenheimer approximation
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| Autores principales: | , , , , |
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| Formato: | Preprint |
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2026
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| _version_ | 1866917344181223424 |
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| author | Zhong, Zhen-Xiang Yang, Ping Korobov, Vladimir I. Li, Chun Shi, Ting-Yun |
| author_facet | Zhong, Zhen-Xiang Yang, Ping Korobov, Vladimir I. Li, Chun Shi, Ting-Yun |
| contents | The effective Hamiltonian of $mα^6$ and $mα^6(m/M)$ order corrections for hydrogen molecular ions has been derived in [ Z.-X. Zhong, \emph{et al.}, Phys. Rev. A {\bf98}, 032502(2018).], in this work we express the energy correction in the form of finite-value effective operators. The cut-off regularization scheme is used to determine finite part of divergent operators of the leading-order recoil corrections. Numerical calculations of first-order contributions are performed in the Hylleraas basis set. Combining the second-order terms calculated in recent work [V. I. Korobov, \emph{et al.}, Mol. Phys. e2563023 (2025).], the $mα^6$-order corrections for the fundamental rovibrational transition are obtained with an uncertainty three times smaller than in previous calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07858 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | QED corrections of orders $mα^6$ and $mα^6(m/M)$ for HD$^+$ rovibrational transitions beyond Born-Oppenheimer approximation Zhong, Zhen-Xiang Yang, Ping Korobov, Vladimir I. Li, Chun Shi, Ting-Yun Atomic Physics The effective Hamiltonian of $mα^6$ and $mα^6(m/M)$ order corrections for hydrogen molecular ions has been derived in [ Z.-X. Zhong, \emph{et al.}, Phys. Rev. A {\bf98}, 032502(2018).], in this work we express the energy correction in the form of finite-value effective operators. The cut-off regularization scheme is used to determine finite part of divergent operators of the leading-order recoil corrections. Numerical calculations of first-order contributions are performed in the Hylleraas basis set. Combining the second-order terms calculated in recent work [V. I. Korobov, \emph{et al.}, Mol. Phys. e2563023 (2025).], the $mα^6$-order corrections for the fundamental rovibrational transition are obtained with an uncertainty three times smaller than in previous calculations. |
| title | QED corrections of orders $mα^6$ and $mα^6(m/M)$ for HD$^+$ rovibrational transitions beyond Born-Oppenheimer approximation |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2603.07858 |