Comment on: "Non-relativistic treatment of diatomic molecules interacting with generalized Kratzer potential in hyperspherical coordinates"

TL;DR

This paper critiques a previous method for solving diatomic molecule equations, arguing that the textbook approach is simpler and more effective, and also highlights the limitations of the Kratzer potential in accurately modeling vibrational spectra.

Contribution

It provides a comparative analysis of solution methods and questions the realism of the Kratzer potential for certain diatomic molecules.

Findings

Textbook eigenvalue solution is simpler and more elegant than AIM.

Kratzer potential inaccurately predicts vibrational spectra for HCl and H2.

The paper emphasizes the importance of realistic potential models.

Abstract

We argue that the textbook method for solving eigenvalue equations is simpler, more elegant and efficient than the Asymptotic Iteration Method (AIM) applied in J. Phys. A {\bf 44} 155205. We show that the Kratzer potential is not a realistic model for the vibration--rotation spectrua of diatomic molecules because it predicts the position of the absorption infrared bands too far from the experimental ones (at least for the $HCl$ and $H_2$ molecules chosen as illustrative examples in that paper).