Path integral solutions of the Dirac equation with spin symmetry for the generalized Pöschl–Teller model: modeling the COX1∑+ molecule

Abstract: We solve the Dirac equation with the generalized Pöschl–Teller potential (GPT), using the Feynman path integral formalism and then a Pekeris-like approximation to deal with the centrifugal term, and obtain the relativistic and non-relativistic ro-vibrational energy equations for diatomic molecules. In non-relativistic limits, an application of the carbon monoxide molecule in the ground states, mean absolute percentage deviations from experimental RKR and DPF data were obtained. Furthermore, taking into account the binding energy condition the maximum possible rotations for each vibrational quantum number of CO were calculated. We have shown that our results are in good agreement with the data available in the literature (theoretical and experimental data) on COX1∑+ and that GPT is a very robust model for discussing diatomic molecules.