ISSN:
1572-9486
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract On the basis of the Gell-Mann — Goldberger two-potential formalism we investigate the partial waves of an off-shell two-body T-matrix in the case of a general Coulomb-like potentialV=V C +V S . The regular kernelt SC,l determining thel-th partial wave of the short-range partT SC,l of the T-matrix is the solution of the equationt SC,l =V S,l +V S,l G C,l t SC,l . The Lippmann-Schwinger operator of this equation formed by the short-range part of the potential and the pure Coulomb Green's operator is shown to be compact under very general assumptions on the potentialV S admitting potentials vanishing in the coordinate representation liker −1−ɛ (ɛ〉0) in the infinity. The special case of differentiable and analytic potentialsV S,l (p,p′) is considered in particular. The results are used to discuss in full generality the on-shell singularities of Coulomb-like T-matrices and wave functions and to investigate the singular integrals that occur in the Faddeev equations for Coulomb-like interactions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01597677
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