Determination of the energy spectrum of the hydrogen molecular ion HT+. Hyperfine structure

Abstract

In this paper, we use the exponential expansion of the wave functions with the variational basis set type exp(-a_nR-b_nr₁-g r₂)  for the systematic calculation of non-relativistic bound state energy hydrogen molecular ion HT⁺. We perform calculations for the state with the total orbital angular momentum L = 0 and 1 with a full set of vibrational quantum numbers v = 0 – 23. And calculate the coefficients for the effective Hamiltonian and hyperfine splitting of the ro-vibrational levels of the hydrogen molecular ion HT⁺.