Comment on ``Exact three-dimensional wave function and the on-shell t matrix for the sharply cut-off Coulomb potential: Failure of the standard renormalization factor''

TL;DR

This paper critically examines previous analytical solutions for the three-dimensional wave function and t matrix in sharply cut-off Coulomb potential scattering, highlighting errors and questioning the validity of the renormalization factor.

Contribution

It challenges the correctness of earlier solutions and the mathematical basis of the renormalization factor in Coulomb scattering with a cutoff.

Findings

Previous solutions are flawed and potentially incorrect.

The renormalization factor used is not mathematically justified.

The paper calls for reevaluation of existing analytical methods.

Abstract

The solutions analytically derived by Gloeckle et al. [Phys. Rev. C79, 044003 (2009)] for the three-dimensional wave function and on-shell t matrix in the case of scattering on a sharply cut-off Coulomb potential appear to be fallacious. And their renormalization factor lacks mathematical grounds.