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Advances in High Energy Physics
Volume 2014, Article ID 196484, 5 pages
http://dx.doi.org/10.1155/2014/196484
Research Article

Study of Baryon Spectroscopy Using a New Potential Form

Physics Department, Faculty of Science, Benha University, Benha, Egypt

Received 23 May 2014; Revised 1 August 2014; Accepted 17 August 2014; Published 10 September 2014

Academic Editor: Elias C. Vagenas

Copyright © 2014 L. I. Abou-Salem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

In the present work, the nonrelativistic quark model is applied to study baryon systems, where the constituent quarks are bound by a suitable hyper central potential. We proposed a new phenomenological form of the interaction potential, digamma-type potential. Using the Jacobi coordinates, the three-body wave equation is solved numerically to calculate the resonance states of the , and baryon systems. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornell potential results. The description of the spectrum shows that the ground states of the considered light and strange baryon spectra are in general well reproduced.