Relativistic oscillator model with spin for nucleon resonances

Abstract

The relativistic three-body problem is approached via the extension of the SL(2,C) group to the Sp(4,C) one. In terms of Sp(4,C) spinors, a Dirac-like equation with three-body kinematics is composed. After introducing the linear in coordinates interaction, it describes the spin-1/2 oscillator. For this system, the exact energy spectrum is derived and then applied to fit the Regge trajectories of baryon N-resonances in the (E^2,J) plane. The model predicts linear trajectories at high total energy E with some form of nonlinearity at low E.

13 pages, 2 figures, 1 table

References in corpus (5)

• Diquark correlations in baryon spectroscopy and holographic QCD
• Parity doubling in particle physics
• Parity Doubling Among the Baryons
• Conformal symmetry and light flavor baryon spectra
• Relativistic two-body equation based on the extension of the SL(2,C) group