Abstract
An accurate study of the lowest 1{sigma}{sub g} and the low-lying excited 1{sigma}{sub u},1{pi}{sub u,g},1{delta}{sub g,u} electronic states of the exotic molecular ion H{sub 3}{sup 2+} in linear configuration parallel to a magnetic field is carried out. The magnetic field ranges from 10{sup 10} G up to 4.414x10{sup 13} G, where nonrelativistic considerations are justified. The variational method is exploited and the same trial function is used for different magnetic fields. It is shown that the states of positive z parity 1{sigma}{sub g},1{pi}{sub u},1{delta}{sub g} are bound states of the H{sub 3}{sup 2+} exotic ion: the state 1{sigma}{sub g} exists for magnetic fields B > or approx. 10{sup 10} G, and the states 1{pi}{sub u},1{delta}{sub g} exist for B > or approx. 2.35x10{sup 10} G. It is demonstrated that for magnetic fields B > or approx. 2.35x10{sup 12} G the potential energy surface well corresponding to the 1{sigma}{sub g} state contains at least one longitudinal vibrational state. It is shown that the negative z-parity states 1{sigma}{sub u},1{pi}{sub g},1{delta}{sub u} are pure repulsive in the whole range of magnetic fields studied, B=10{sup 10}-4.414x10{sup 13} G.
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