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Solving Bethe-Salpeter scattering state equation in Minkowski space

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.
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Submitted on : Thursday, September 18, 2014 - 11:00:45 AM
Last modification on : Wednesday, September 16, 2020 - 4:08:37 PM

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J. Carbonell, V. A. Karmanov. Solving Bethe-Salpeter scattering state equation in Minkowski space. Physical Review D, American Physical Society, 2014, 90, pp.056002. ⟨10.1103/PhysRevD.90.056002⟩. ⟨in2p3-01065503⟩



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