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
References in corpus (4)
- Vector meson form factors and their quark-mass dependence
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- On the analytic structure of scalar glueball operators at Born level
- Covariant relativistic separable kernel approach for electrodisintegration of the deuteron at high momentum transfer
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- Isospectral scattering for relativistic equivalent Hamiltonians on a coarse momentum grid
- Current conservation in electrodisintegration of a bound system in the Bethe-Salpeter approach