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Direct Bethe-Salpeter solutions in Minkowski space
EPJ Web of Conferences
We review a method to directly solve the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the many singularities which appear in the kernel and propagators. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange was computed for the first time. Using our Minkowski space solutions for the initial (bound) and final (scattering) states, we calculate elastic and transition (bound todoi:10.1051/epjconf/201611303012 fatcat:ewqbmyd4pjfbziqz2vnvtjtl5i