Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model

Abstract

Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the non-relativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.

14 pages, 18 figures

References in corpus (2)

• Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
• Bulk viscosity of the massive Gross-Neveu model

Cited by in corpus (1)

• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass