Direct Bethe-Salpeter solutions in Minkowski space

Abstract

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 scattering state) electromagnetic form factors. The conservation of the transition electromagnetic current J.q=0, verified numerically, confirms the validity of our solutions.

4 pages, 4 figures, contribution to 21st International Conference on Few-Body Problems in Physics, Chicago, USA, May 18-21, 2015. To be published by EPJ Web of Conferences

References in corpus (4)

• Quantitative studies of the homogeneous Bethe-Salpeter Equation in Minkowski space
• Solving Bethe-Salpeter scattering state equation in Minkowski space
• Solving the inhomogeneous Bethe-Salpeter Equation in Minkowski space: the zero-energy limit
• Transition electromagnetic form factor and current conservation in the Bethe-Salpeter approach