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Terms of a Hydrogen Molecule in a High Magnetic Field

Analytical expressions for the pair interaction potential between hydrogen atoms in a high magnetic field are derived for the triplet and singlet terms. The results are asymptotically exact for large interatomic distance R compared with the atomic size and in the limit of ultrahigh magnetic fields. It is shown that the ground state of the hydrogen molecule in a high magnetic field is the triplet term 3Πu, which corresponds to the case when one atom is in the ground state and the other is in the first excited state. The interaction between two ground-state hydrogen atoms in the term 3Σu is very weak. The energy of the singlet term 1Σg has a deep minimum, which is much higher than the triplet one and may be a metastable state of a hydrogen molecule only.