https://doi.org/10.1051/epjconf/201611303012
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
a e-mail: carbonell@ipno.in2p3.fr
b e-mail: karmanov@sci.lebedev.ru
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
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