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The Exact Three-Dimensional Half-Shell t-Matrix for a Sharply Cut-off Coulomb Potential in the Screening Limit

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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.

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References

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Authors and Affiliations

  1. Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780, Bochum, Germany

    W. Glöckle

  2. M. Smoluchowski Institute of Physics, Jagiellonian University, 30059, Kraków, Poland

    J. Golak, R. Skibiński & H. Witała

Authors
  1. W. Glöckle
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  2. J. Golak
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  3. R. Skibiński
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  4. H. Witała
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Corresponding author

Correspondence to W. Glöckle.

Additional information

Dedicated to Prof. W. Plessas on the occasion of his 60th birthday.

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Glöckle, W., Golak, J., Skibiński, R. et al. The Exact Three-Dimensional Half-Shell t-Matrix for a Sharply Cut-off Coulomb Potential in the Screening Limit. Few-Body Syst 47, 3–15 (2010). https://doi.org/10.1007/s00601-009-0058-z

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  • DOI: https://doi.org/10.1007/s00601-009-0058-z

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