On the ro-vibrational energies for the lithium dimer; maximum-possible rotational levels

TL;DR

This paper evaluates approximation methods for calculating ro-vibrational energies of the lithium dimer, finding that the factorization recipe provides more reliable results and reveals limited rotational levels for each vibrational state.

Contribution

It introduces and validates the factorization recipe as a more reliable approximation for ro-vibrational energy calculations of lithium dimer.

Findings

The factorization recipe outperforms the Greene-Aldrich approximation.

Limited rotational levels are supported for each vibrational state.

The study confirms the reliability of the Deng-Fan potential in this context.

Abstract

The Deng-Fan potential is used to discuss the reliability of the improved Greene-Aldrich approximation and the factorization recipe of Badawi et al.'s [17] for the central attractive/repulsive core. The factorization recipe is shown to be a more reliable approximation and is used to obtain the ro-vibrational energies for the lithium dimer. For each vibrational state only a limited number of the rotational levels are found to be supported by the lithium dimer.