Solution of the Bethe-Salpeter equation for pion-nucleon scattering

Details Solution of the Bethe-Salpeter equation for pion-nucleon scattering Solution of the Bethe-Salpeter equation for pion-nucleon scattering

1999-03-24

arxiv.org/abs/nucl-th/9903058v2

Phys.Rev. C60 (1999) 024608

Physics

Nuclear Physics

Nuclear Theory

34 pages, RevTeX; 7 figures. Several references added, a few typos corrected. Accepted for publication in Physical Review C

Scientific paper

10.1103/PhysRevC.60.024608

A relativistic description of pion-nucleon scattering based on the four-dimensional Bethe-Salpeter equation is presented. The kernel of the equation consists of s- and u-channel nucleon and delta pole diagrams, as well as rho and sigma exchange in the t-channel. The Bethe-Salpeter equation is solved by means of a Wick rotation, and good fits are obtained to the s- and p-wave phase shifts up to 360 MeV pion laboratory energy. The coupling constants determined by the fits are consistent with the commonly accepted values in the literature.

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