Abstract
We study the interaction at low energies with a quark model inspired in the QCD Hamiltonian in Coulomb gauge. The model Hamiltonian incorporates a confining Coulomb potential extracted from a self-consistent quasiparticle method for the gluon degrees of freedom, and transverse-gluon hyperfine interaction consistent with a finite gluon propagator in the infrared. Initially a constituent-quark mass function is obtained by solving a gap equation and baryon and meson bound-states are obtained in Fock space using a variational calculation. Next, having obtained the constituent-quark masses and the hadron waves functions, an effective meson-nucleon interaction is derived from a quark-interchange mechanism. This leads to a short range mesonbaryon interaction and to describe long-distance physics vector- and scalar-meson exchanges described by effective Lagrangians are incorporated. The derived effective N potential is used in a Lippmann-Schwinger equation to obtain phase shifts. The results are compared with a recent similar calculation using the nonrelativistic quark model.
Highlights
The study of the DN interaction is of interest in different contexts, in particular in problems of chiral symmetry restoration in hadronic matter
In-medium spectral functions of D mesons [1] require a detailed model for DN interaction and, as emphasized in recent publications [2,3], the understanding of this interaction in free space is a prerequisite for constraining such calculations
A model that provides such a workable framework is based on the QCD Hamiltonian in Coulomb gauge [4]
Summary
The study of the DN interaction is of interest in different contexts, in particular in problems of chiral symmetry restoration in hadronic matter. We introduce the model Hamiltonian, discuss DχSB, and describe an approximation scheme to obtain hadron wave functions. Having obtained the constituent-quark masses with DχSB and the hadron waves functions, in Section 3 we derive an effective meson-baryon interaction through a quark-interchange mechanism. In Appendix A we present the effec- EPJ Web of Conferences tive meson-baryon Lagrangian densities used in the present work
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