D¯Ninteraction in a color-confining chiral quark model

Abstract

We investigate the low-energy elastic DbarN 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 (sigma,rho,omega,a0) 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 model parameters in meson exchange potential are fixed to describe the low-energy experimental phase shifts of the K+N and K0N reactions, predictions for Dbar0N and D-N reactions are obtained without introducing new parameters.