Direct Bethe-Salpeter solutions in Minkowski space
1 Institut de Physique Nucléaire, Université Paris-Sud, IN2P3-CNRS, 91406 Orsay Cedex, France
2 Lebedev Physical Institute, Leninsky Prospekt 53, 119991 Moscow, Russia
Published online: 25 March 2016
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 → scattering state) electromagnetic form factors. The conservation of the transition electromagnetic current J · q = 0, verified numerically, confirms the validity of our solutions.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.