Exact three-dimensional wave function and the on-shell t-matrix for the sharply cut off Coulomb potential: failure of the standard renormalization factor

Abstract

The 3-dimensional wave function for a sharply cut-off Coulomb potential is analytically derived. The asymptotic form of the related scattering amplitude reveals a failure of the standard renormalization factor which is believed to be generally valid for any type of screening.

Comments: 22 pages, 2 tables, 6 eps figures