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.

arXiv comment14 pages, 18 figures

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Cited by in corpus (3)

• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation