interaction in a color-confining chiral quark model
C. E. Fontoura, G. Krein, and V. E. Vizcarra
Phys. Rev. C 87, 025206 (2013) - Published 27 February, 2013
We investigate the low-energy elastic interaction using a quark model that confines color and realizes dynamical chiral symmetry breaking. The model is defined by a microscopic Hamiltonian inspired in the QCD Hamiltonian in Coulomb gauge. Constituent quark masses are obtained by solving a gap equation, and baryon and meson bound-state wave functions are obtained using a variational method. We derive a low-energy meson-nucleon potential from a quark-interchange mechanism whose ingredients are the quark-quark and quark-antiquark interactions and baryon and meson wave functions, all derived from the same microscopic Hamiltonian. The model is supplemented with (, , , ) single-meson exchanges to describe the long-range part of the interaction. Cross sections and phase shifts are obtained by iterating the quark-interchange plus meson-exchange potentials in a Lippmann-Schwinger equation. Once coupling constants of long-range scalar and meson exchanges are adjusted to describe experimental phase shifts of the and reactions, predictions for cross sections and -wave phase shifts for the and reactions are obtained without introducing new parameters.