Spectroscopic properties of the molecular ion in the 8kπ, 9kσ, 9lπ, 9lσ and 10oσ electronic states

The electronic energies of several molecular ions in different states have been recently determined by applying Hylleraas’ method along with Wind-Jaffe’s series to the Hamilton–Jacobi equation. In this paper, a continuation of three previous studies is presented: we have fitted to fourth-degree Rydberg generalized functions the potential energy curves for the 8 kπ , 9 kσ , 9 lπ , 9 lσ and 10 oσ electronic states of the H 2 + molecular ion. The correspondent rovibrational energies and spectroscopic constants were then derived by both the Discrete Variable Representation and Dunham’s method. The theoretical results – the first reported in the literature – are expected to provide a reliable comparison source to future works.