On the l = 0 binding eigenstates of a cut-off Coulomb potential

Abstract

The cut-off Coulomb potential (CCP) [Formula: see text], with [Formula: see text] a constant, is a radial interaction which is free from singularities in the whole radial range [Formula: see text]. The CCP is useful for modeling interacting systems when a Coulomb-like behavior is called for far from the source but with no singularity near it. The binding energies of the [Formula: see text] states of the CCP may be approximated. We further exhibit that the radiative corrections of phenomena such as the double Sudakov logarithm should be treated in the standard way.