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On solving nonhomogeneous Bethe-Salpeter equations
Authors:S S Semikh  S M Dorkin  M Beyer  L P Kaptari
Institution:(1) Institute of Nuclear Physics, Moscow State University, Vorob’evy gory, Moscow, 119899, Russia;(2) Rostock University, Rostock, Germany;(3) Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
Abstract:A new method for solving nonhomogeneous Bethe-Salpeter equations is developed on the basis of employing expansions of interaction amplitudes and kernels in the basis of four-dimensional spherical harmonics. The method, which is applicable to both scalar and spinor equations, is expounded for the case of the nonhomogeneous Bethe-Salpeter equation for scalar particles in the ladder approximation. The model phase shifts calculated by this method are in good agreement with results published previously.
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