H2+ ion in strong magnetic field: a variational study

Using a single trial function we perform an accurate calculation of the ground state $1{\sigma }_g$ of the hydrogenic molecular ion $H_2^{+}$ in a constant uniform magnetic field ranging $0-{10}^{13}$ G. We show that this trial function also makes it possible to study the negative parity ground state $1{\sigma }_u$. We obtain that over the whole range of magnetic fields studied, the calculated binding energies are in most cases larger than binding energies obtained previously by other authors using different methods.