Eur. Phys. J. Plus (2016) 131: 118
https://doi.org/10.1140/epjp/i2016-16118-3

Regular Article

Baryon spectroscopy in a three-quark model

Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran

^* e-mail: m.aslanzadeh@shahroodut.ac.ir

Received: 30 November 2015
Accepted: 20 February 2016
Published online: 26 April 2016

Abstract

In this paper, we present a three-body quark model for investigating the internal structure of baryons as well as baryon spectroscopy. In order to describe the SU(6) -invariant part of the spectrum, we assumed the spin-independent part of the interaction hypercentral, and treated using the hyperspherical formalism. For SU(6) -invariant potential, we used a generalized version of the popular “Coulomb-plus-linear” potential which contains “linear-plus-logarithmic” terms as confinement part and some inverse power terms. To obtain an analytical solution, we applied some approximations for dealing with problematic linear and logarithmic terms, leading to a qualitative reproducing of the spectrum. Then, to describe the hyperfine structure of the baryon and the splittings within the SU(6) -multiplets, we used the generalized Gürsey-Radicati Mass Formula as a SU(6) breaking interaction. Our calculations lead to a generally fair description of the baryon spectrum.