Comment on "The spin symmetry for deformed generalized P\"oschl-Teller potential"

TL;DR

This paper clarifies the conditions under which solutions to the Dirac equation with a deformed generalized P"oschl-Teller potential are valid, revealing limitations for certain parameter ranges and providing a new approach for others.

Contribution

It demonstrates that previous solutions are only valid for specific parameter ranges and derives new energy eigenvalues for the case when 0<q<1, using hypergeometric functions.

Findings

Solutions valid only for q ≥ 1 and specific r range

Energy eigenvalues for 0<q<1 are solutions to a transcendental equation

Morse potential as a limiting case confirms the results

Abstract

In this comment, we show that the solutions of the-wave Dirac equation for deformed generalized P\"{o}schl-Teller potential obtained by Wei et al are valid only for $q\geq1$ and $\frac{1}{2\alpha}\ln{q}<r<\infty$. When $0<q<1$, we prove that the energy eigenvalues for the bound states are given by the solution of a transcendental equation involving the hypergeometric function. To test our results, the Morse potential is considered as limiting case.