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

Abstract

Abstract. We study theDN 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 effectiveDN 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.

Exotic dibaryons with a heavy antiquark

“…The P ( * ) N force could also contain the short-range parts as discussed in Refs. [13,14,15,16]. However, we expect that the OPEP as a long-range force dominates when the systems form a loosely bound state.…”

Charmed hadrons in matter and SU(4) flavor symmetry

“…A particularly critical issue in the study of such exotic nuclear states is the DN interaction. There is no direct experimental information available for this interaction and, for the time being, one has to rely on models constrained by symmetry, analogies with other similar processes, and the use of different degrees of freedom [11][12][13][14][15][16][17].…”

“…A particularly critical issue in the study of such exotic nuclear states is the DN interaction. There is no direct experimental information available for this interaction and, for the time being, one has to rely on models constrained by symmetry, analogies with other similar processes, and the use of different degrees of freedom [11][12][13][14][15][16][17].Effective Lagrangians based on SU(4)-flavor symmetry are widely used in the study of the interactions of charmed hadrons with matter. In the particular case of the exotic J / nuclear bound state [2][3][4][5], the J / meson interacts with the bound nucleons via virtual D and D * loops -see Fig.…”

Exotic dibaryons with a heavy antiquark

“…In literatures, however, there are other theoretical studies suggesting that repulsions at short distances and weaker pion coupling may change the interaction less attractive or even repulsive, which makes no bound state [19][20][21][22]. Our strategy here is to determine the long range part of the interaction, namely the one pion exchange potential with the strong tensor force, with respecting the heavy quark symmetry.…”