Relativistic oscillator model with spin for nucleon resonances
High Energy Physics - Phenomenology
2015-06-03 v3 Nuclear Theory
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.
Cite
@article{arxiv.1112.4653,
title = {Relativistic oscillator model with spin for nucleon resonances},
author = {D. A. Kulikov and I. V. Uvarov and A. P. Yaroshenko},
journal= {arXiv preprint arXiv:1112.4653},
year = {2015}
}
Comments
13 pages, 2 figures, 1 table