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

W. Glöckle, J. Golak, R. Skibiński, and H. Witała
Phys. Rev. C 79, 044003 – Published 28 April 2009
Physics logo See Synopsis: Screening and the Coulomb interaction

Abstract

The three-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.

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  • Received 5 March 2009

DOI:https://doi.org/10.1103/PhysRevC.79.044003

©2009 American Physical Society

Synopsis

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Screening and the Coulomb interaction

Published 4 May 2009

How screening affects the Coulomb interaction has long been considered a solved problem, but an analysis indicates there is an error in the widely used analytical approach.

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Authors & Affiliations

W. Glöckle1, J. Golak2, R. Skibiński2, and H. Witała2

  • 1Institut für theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 2M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059 Kraków, Poland

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Issue

Vol. 79, Iss. 4 — April 2009

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