Abstract
We present an improved study of the electromagnetic form factors of the nucleon and of the Roper-nucleon transition using an extended version of the effective action of soft-wall AdS/QCD. We include novel contribution from additional nonminimal terms, which do not renormalize the charge and do not change the normalization of the corresponding form factors, but the inclusion of these terms results in an important contribution to the momentum dependence of the form factors and helicity amplitudes.
Highlights
The soft-wall AdS/QCD action for the nucleon was proposed in Ref. [1]
We present an improved study of the electromagnetic form factors of the nucleon and of the Roper-nucleon transition using an extended version of the effective action of soft-wall AdS/QCD
In Ref. [3] it was extended to take into account higher Fock states in the nucleon and additional couplings with the electromagnetic field in consistency with QCD constituent counting rules [4] for the power scaling of hadronic form factors at large values of the momentum transfer squared in the Euclidean region
Summary
The soft-wall AdS/QCD action for the nucleon was proposed in Ref. [1]. It included a term describing the nucleon confining dynamics and the electromagnetic field, and their minimal and nonminimal couplings QN 1⁄4 diagð1; 0Þ (nucleon charge matrix) and ηN 1⁄4 diagðηp; ηnÞ (nucleon matrix of anomalous magnetic moments), respectively. [6,7,8], the nucleon properties have been analyzed using a Hamiltonian formalism Their calculation of the nucleon electromagnetic properties ignored the contribution of the nonminimal coupling to the Dirac form factors, and the analysis done in Refs. [15], the formalism for the study of nucleon resonances in soft-wall AdS/QCD has been developed, and the first application for a detailed description of Ropernucleon transition properties (form factors, helicity amplitudes and transition charge radii) was performed. In the present paper we include additional nonminimal couplings of the vector field (dual to the electromagnetic field) with fermions (dual to the nucleon and Roper) Such terms do not renormalize the charge, but gives an important contribution to the momentum dependence of the nucleon and Roper-nucleon transition form factors (helicity amplitudes).
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