Eur. Phys. J. Plus (2018) 133: 265
https://doi.org/10.1140/epjp/i2018-12095-9

Regular Article

The modified communication between the helicity amplitudes and the electromagnetic form factor of a nucleon based on the nonrelativistic constituent quark model

¹ Faculty of Physics, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran
² Shams Institute of Higher Education, Gonbad, Iran

^* e-mail: sarahparsaei@shahroodut.ac.ir

Received: 28 November 2017
Accepted: 24 May 2018
Published online: 20 July 2018

Abstract

In this paper, as a first step, the baryon resonance spectrum and the hyperfine structure of the baryon by using a simple approach based on the Gursey-Radicati mass formula (GR) are studied. As a second step, since the electromagnetic transition between nucleon and excited baryons has long been recognized as an important source of information for understanding strong interactions in the domain of quark confinement, we performed calculation of the helicity amplitudes and electric and magnetic transition form factors for the electromagnetic excitation of nucleon resonances in the nonrelativistic quark model. In this paper, we present a new model for the communication between the electromagnetic transition form factors and helicity amplitudes. These have shown the best communication between helicity amplitudes and electromagnetic form factors, with preservation of the unit. We present new results concerning electromagnetic form factors of the nucleon using a nonrelativistic version of the hypercentral constituent quark model and nonrelativistic current. Presenting our results in the range (GeV² in comparison with the predictions obtained in other relativistic and nonrelativistic quark models, our results lead to an overall better agreement with the experimental data, especially in the medium Q² range.