出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:The method of solving the Bethe-Salpeter equation in Minkowski space, developed previously for spinless particles [1, 2], 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.