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Pré-Publication, Document De Travail Année : 2020

Hyperfine structure in the H$_2^+$ and HD$^+$ molecular ions at $m\alpha^6$ order

Résumé

A complete effective Hamiltonian for relativistic corrections at orders $m\alpha^6$ and $m\alpha^6(m/M)$ in a one-electron molecular system is derived from the NRQED Lagrangian. It includes spin-independent corrections to the energy levels and spin-spin scalar interactions contributing to the hyperfine splitting, both of which had been studied previously. In addition, corrections to electron spin-orbit and spin-spin tensor interactions are newly obtained. This allows improving the hyperfine structure theory in the hydrogen molecular ions. Improved values of the spin-orbit hyperfine coefficient are calculated for a few transitions of current experimental interest.
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Dates et versions

hal-02865658 , version 1 (11-06-2020)
hal-02865658 , version 2 (18-11-2020)

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Vladimir Korobov, Jean-Philippe Karr, Mohammad Haidar, Zhen-Xiang Zhong. Hyperfine structure in the H$_2^+$ and HD$^+$ molecular ions at $m\alpha^6$ order. 2020. ⟨hal-02865658v1⟩
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