Study of the $\bar{D}$N Interaction in a QCD Coulomb Gauge Quark Model

C.E. Fontoura; G. Krein; V.E. Vizcarra

doi:10.1051/epjconf/20100303027

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 3, 03027 (2010)
https://doi.org/10.1051/epjconf/20100303027

Study of the $\bar{D}$ N Interaction in a QCD Coulomb Gauge Quark Model

C.E. Fontoura^a, G. Krein and V.E. Vizcarra

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

Abstract

We study the $\bar{D}$ 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 $\bar{D}$ 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