H2+ ion in an intense magnetic field: Improved adiabatic approximations

We study the ground state binding energy of the H2+ ion in an intense magnetic field. Our calculations are based on improved forms of the adiabatic approximation. We calculate the binding energy, the equilibrium internuclear separation and the zero point energies of nuclear vibrations both parallel and perpendicular to the magnetic field. Comparison of our results with those obtained from the static adiabatic approximation and from variational calculations shows a substantial improvement