Variational study of the hydrogen molecular ion in very strong magnetic fields

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Abstract
The hydrogen molecular ion is studied variationally for m=0 to -4 and gamma =10 to 1000 in the infinite-proton-mass approximation. The variational basis presents respectively Gaussian and exponential behaviours in the transverse and longitudinal directions with respect to the field. Binding and dissociation energies and equilibrium distances are calculated. Except for m=0 and gamma <or=100, the authors' energies improve other results. The dissociation energies and equilibrium distances present a simple behaviour with respect to the magnetic quantum number m and to the field strength gamma .