1112.4653 (D. A. Kulikov et al.)

Relativistic oscillator model with spin for nucleon resonances    [PDF]

D. A. Kulikov, I. V. Uvarov, A. P. Yaroshenko

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.

View original: http://arxiv.org/abs/1112.4653