Relativistic oscillator model with spin for nucleon resonances

Details Relativistic oscillator model with spin for nucleon resonances Relativistic oscillator model with spin for nucleon resonances

2011-12-20

arxiv.org/abs/1112.4653v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures, 1 table

Scientific paper

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. Having only two parameters, the model is in overall agreement with the experiment.

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