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Covariant oscillator quark model for glueballs and baryons

Fabien Buisseret* and Claude Semay†

  • Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie universitaire Wallonie-Bruxelles, Place du Parc 20, BE-7000 Mons, Belgium

  • *Electronic address: fabien.buisseret@umh.ac.be; FNRS Research Fellow
  • †Electronic address: claude.semay@umh.ac.be; FNRS Research Associate
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Phys. Rev. D 73, 114011 – Published 9 June, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.114011

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 Δ-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.

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Phys. Rev. D 73, 114011– Published 9 June, 2006
  • Received 27 February 2006

© 2006 American Physical Society

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