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

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

2010-09-23

arxiv.org/abs/1009.4522v1

PoS LC2010:014,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures. Contribution to the proceedings of the Workshop: Light-Cone 2010, "Relativistic Hadronic and Particle Phys

Scientific paper

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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