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