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The Exact Three-Dimensional Half-Shell t-Matrix for a Sharply Cut-off Coulomb Potential in the Screening Limit
Authors:W Gl?ckle  J Golak  R Skibiński  H Wita?a
Institution:1. Institut für Theoretische Physik II, Ruhr-Universit?t Bochum, 44780, Bochum, Germany
2. M. Smoluchowski Institute of Physics, Jagiellonian University, 30059, Kraków, Poland
Abstract:The screening limit of the three-dimensional half-shell t-matrix for a sharply cut-off Coulomb potential is analytically derived without reference to partial wave expansion. The numerical solutions of the three-dimensional Lippmann–Schwinger equation for increasing cut-off radii provide half-shell t-matrices which are in quite a good agreement with the asymptotic values.
Keywords:
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