The $He{H}^{+}$ molecular ion in a magnetic field

Abstract

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3Π,{}^3\De$ of the ${\mathrm{HeH}}^{+}$ 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 ${}^3\Pi$ state for $B\gtrsim 15$ a.u. When the ${\mathrm{HeH}}^{+}$ molecular ion exists, it is stable with respect to a dissociation.

13 pages, 5 figures, 4 tables

References in corpus (2)

• The $H{e}_2^{2+}$ molecular ion can exist in a magnetic field
• The $H_3^{+}$ molecular ion in a magnetic field in linear parallel configuration