Solving Bethe-Salpeter scattering state equation in Minkowski space
arXiv:1408.3761 · doi:10.1103/PhysRevD.90.056002
Abstract
We present a method to directly solving the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the singularities which appear in the kernel, propagators and Bethe-Salpeter amplitude itself. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange is computed for the first time.
24 pages, 12 figures, to be published in Phys. Rev. D
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