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arXiv physics/0703090physics.atom-ph
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磁场中的$HeH^+$分子离子

The $HeH^+$ molecular ion in a magnetic field

A. V. Turbiner, N. L. Guevara

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13 pages, 5 figures, 4 tables
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摘要：

在Born-Oppenheimer近似下，对$\rm{HeH}^+$分子离子在平行于磁场组态（当$\al$ -粒子和质子位于同一磁力线上时）的低电子态${}^1\Si,{}^3\Si,{}^3Π,{}^3\De$进行了详细的研究.变分法是使用一个物理上适当的试探函数。它示出的并行配置是稳定的$\Si$状态的小偏差。基态的量子数依赖于磁场强度。基态从自旋单重态${}^1\Si$状态演变为小磁场$B\lesssim 0.5 $ a.u.对于中间场，自旋三重态${}^3\Si$为非束缚态，对于$B \gtrsim 15 $ a. u.当存在$\rm{HeH}^+$分子离子时，其对于解离是稳定的。

英文摘要：

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3Π,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is carried out for $B=0-4.414\times 10^{13}$ G in the Born-Oppenheimer approximation. The variational method is employed using a physically adequate trial function. It is shown that the parallel configuration is stable with respect to small deviations for $\Si$-states. The quantum numbers of the ground state depend on the magnetic field strength. The ground state evolves from the spin-singlet ${}^1\Si$ state for small magnetic fields $B\lesssim 0.5 $ a.u. to the spin-triplet ${}^3\Si$ unbound state for intermediate fields and to the spin-triplet strongly bound $^3Π$ state for $B \gtrsim 15 $ a.u. When the $\rm{HeH}^+$ molecular ion exists, it is stable with respect to a dissociation.

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