https://doi.org/10.1051/epjconf/20100303027
Study of the 
N Interaction in a QCD
Coulomb Gauge Quark Model
Instituto de Física Teórica, Universidade Estadual
Paulista
Rua Dr. Bento Teobaldo Ferraz 271 -
Bloco II , 01140-070
São Paulo, SP, Brazil
a e-mail: eduardo@ift.unesp.br
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.
© Owned by the authors, published by EDP Sciences, 2010
