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 (7)

• Discovery of absorption features in the X-ray spectrum of an isolated neutron star
• The helium atom in a strong magnetic field
• Hydrogen molecule in a magnetic field: The lowest states of the Pi manifold and the global ground state of the parallel configuration
• Ground states of the atoms H, He,...., Ne and their singly positive ions in strong magnetic fields: The high field regime
• Hydrogen and Helium Atoms and Molecules in an Intense Magnetic Field
• 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

Cited by in corpus (3)

• Bonding in the helium dimer in strong magnetic fields: the role of spin and angular momentum
• Charged Hydrogenic, Helium and Helium-Hydrogenic Molecular Chains in a Strong Magnetic Field
• The He${}_2^{+}$ molecular ion and the He${}^{-}$ atomic ion in strong magnetic fields