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

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 نشر من قبل Jean-Philippe Karr
 تاريخ النشر 2020
  مجال البحث فيزياء
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A complete effective Hamiltonian for relativistic corrections at orders $malpha^6$ and $malpha^6(m/M)$ 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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