Non-adiabatic calculations upon the hydrogen molecular ion isotopically substituted by tritium, deuterium and muonium

Abstract

The theory for the calculation of the low-lying energy levels of one-electron diatomic molecules is presented with particular regard to the importance of mass dependence as shown by muonic nuclei. A comparison is given of the calculated vibrational levels with those obtained by a parameterisation in terms of the spectroscopic constants allowing for the mass dependence. Transition frequencies of some low-lying vibrational–rotational energy levels are predicted for muonic species.