Direct Bethe-Salpeter solutions in Minkowski space

J. Carbonell, V.A. Karmanov, C. Elster, D.R. Phillips, C.D. Roberts
2016 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 to
more » ... tering state) electromagnetic form factors. The conservation of the transition electromagnetic current J.q=0, verified numerically, confirms the validity of our solutions.
doi:10.1051/epjconf/201611303012 fatcat:ewqbmyd4pjfbziqz2vnvtjtl5i