https://doi.org/10.1051/epjconf/20100305017
Approximate Three-Dimensional Wave Function and the T-Matrix for the Sharply Cut Off Coulomb Potential
1
M. Smoluchowski Institute of Physics, Jagiellonian
University, PL-30059
Kraków,
Poland
2
Institut für theoretische Physik II, Ruhr-Universität
Bochum, D-44780
Bochum,
Germany
a e-mail: jacek.golak@uj.edu.pl
For a sharply cut-off Coulomb potential we derive analytically the asymptotic form of the threedimensional wave function and the related scattering amplitude. We show a failure of the standard renormalization factor which is believed to be generally valid for any type of screening. We obtain also the asymptotic form of the corresponding three-dimensional half-shell t-matrix. Our results are fully supported by the numerical solutions of the three-dimensional Lippmann-Schwinger equation.
© Owned by the authors, published by EDP Sciences, 2010
