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The three-dimensional half-shell t-matrix for a sharply cut-off Coulombpotential is analytically derived together with its asymptotic form withoutreference to partial wave expansion. The numerical solutions of thethree-dimensional Lippmann-Schwinger equation for increasing cut-off radiiprovide half-shell t-matrices which are in quite a good agreement with theasymptotic values.

The exact three-dimensional half-shell t-matrix for a sharply cut-off Coulomb potential in the screening limit