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arXiv · 1009.4522

Solution of the Bethe-Salpeter equation in Minkowski space for a two fermion system

J. Carbonell·V. A. Karmanov
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Abstract

The method of solving the Bethe-Salpeter equation in Minkowski space, developed previously for spinless particles, is extended to a system of two fermions. The method is based on the Nakanishi integral representation of the amplitude and on projecting the equation on the light-front plane. The singularities in the projected two-fermion kernel are regularized without modifying the original BS amplitudes. The numerical solutions for the J=0 bound state with the scalar, pseudoscalar and massless vector exchange kernels are found. Binding energies are in close agreement with the Euclidean results. Corresponding amplitudes in Minkowski space are obtained.

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J. Carbonell, V. A. Karmanov. 2010-09-23. Solution of the Bethe-Salpeter equation in Minkowski space for a two fermion system. https://arxiv.org/abs/1009.4522

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