High accuracy calculation of the hydrogen negative ion in strong magnetic fields

Abstract

Using a full configuration-interaction method with Hylleraas-Gaussian basis function, this paper investigates the 110+, 11(−1)+ and 11(−2)+ states of the hydrogen negative ion in strong magnetic fields. The total energies, electron detachment energies and derivatives of the total energy with respect to the magnetic field are presented as functions of magnetic field over a wide range of field strengths. Compared with the available theoretical data, the accuracy for the energies is enhanced significantly. The field regimes 3 < γ < 4 and 0.02 < γ < 0.05, in which the 11(−1)+ and 11(−2)+ states start to become bound, respectively, are also determined based on the calculated electron detachment energies.