Covariant oscillator quark model for glueballs and baryons

Abstract

An analytic resolution of the covariant oscillator quark model for a three-body system is presented. Our harmonic potential is a general quadratic potential which can simulate both a $\delta$-shape configuration or a simplified Y-configuration where the junction is located at the center of mass. The mass formulas obtained are used to compute glueball and baryon spectra. We show that the agreement with lattice and experimental data is correct if the Casimir scaling hypothesis is assumed. It is also argued that our model is compatible with pomeron and odderon approaches.

2 figures; content changed and enlarged

References in corpus (14)

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Cited by in corpus (6)

• On two- and three-body descriptions of hybrid mesons
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Effective potential between two gluons from the scalar glueball
• Relativistic oscillator model with spin for nucleon resonances