论文标题
H $ _2^+$和HD $^+$分子离子$Mα^6 $订单中的超细结构
Hyperfine structure in the H$_2^+$ and HD$^+$ molecular ions at $mα^6$ order
论文作者
论文摘要
单电子分子系统中的$Mα^6 $和$Mα^6（m/m）$的相对论校正的完全有效的哈密顿式化。它包括对能量水平的自旋无关校正和有助于超精细分裂的自旋旋转标量相互作用，这两者先前已经进行了研究。此外，新获得了对电子自旋轨道和自旋旋转张量相互作用的校正。这允许改善氢分子离子中的超细结构理论。对于当前实验兴趣的一些过渡，计算了自旋轨道超细系数的改善值。
A complete effective Hamiltonian for relativistic corrections at orders $mα^6$ and $mα^6(m/M)$ 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.
