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

A complete effective Hamiltonian for relativistic corrections at orders $m α^{6}$ and $m α^{6} (m / M)$ 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.

Hyperfine structure in the H $_{2}^{+}$ and HD $^{+}$ molecular ions at $m α^{6}$ order

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Hyperfine structure in the H $_{2}^{+}$ and HD $^{+}$ molecular ions at $m α^{6}$ order

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Hyperfine structure in the H2+2+​ and HD++ molecular ions at mα6mα6 order

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Hyperfine structure in the H2+2+​ and HD++ molecular ions at mα6mα6 order

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Hyperfine structure in the H $_{2}^{+}$ and HD $^{+}$ molecular ions at $m α^{6}$ order

讲解博客

AI智能校验

Hyperfine structure in the H $_{2}^{+}$ and HD $^{+}$ molecular ions at $m α^{6}$ order

讲解博客

AI智能校验