Configurational entropy and the $N^{\ast }(1440)$ Roper resonance in QCD

Abstract

The electroexcitation of the ${\mathcal{N}}^{\ast }(1440)$ Roper resonance, which defines the first radially excited state of the nucleon, is examined within the soft-wall AdS/QCD model. Such excited Fock states are characterized by the leading three-quark component, which determines the main properties of Roper resonance. The differential configurational entropy (DCE) was used in the nuclear interaction with a gauge vector field for ${\mathcal{N}}^{\ast }(1440)$ transition. Comparing the main results with the recent data of the CLAS Collaboration at JLab shows a good agreement on the accuracy of the computed data.

Comments: 19 pages, 4 figures