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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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22 pages, 2 tables, 6 eps figures

Scientific paper

10.1103/PhysRevC.79.044003

The 3-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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