6533b82bfe1ef96bd128d6cb

RESEARCH PRODUCT

Heavy meson interquark potential

P. GonzalezVincent MathieuVicente Vento

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsMesonInfraredHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyFísicaFOS: Physical sciencesLattice QCDEffective nuclear chargeHigh Energy Physics - ExperimentGluonHigh Energy Physics - PhenomenologyFormalism (philosophy of mathematics)High Energy Physics - Experiment (hep-ex)High Energy Physics - Phenomenology (hep-ph)Quantum electrodynamicsNuclear Experiment

description

The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum dependence which is free from infrared divergences. We calculate the interquark potential for heavy mesons by assuming that it is given by a massive One Gluon Exchange potential and compare with phenomenologyical fits inspired by lattice QCD. We apply these potential forms to the description of quarkonia and conclude that, even though some aspects of the confinement mechanism are absent in the Dyson Schwinger formalism, the results for the spectrum are surprisingly accurate. We discuss explanations for this outcome.

https://dx.doi.org/10.48550/arxiv.1108.2347