The deuteron charge rad{\i}us $r_c$ in the framework of the hard-wall AdS/QCD model

Abstract

We study the deuteron charge radius in the framework of a hard-wall AdS/QCD model. We present basic elements of the hard-wall model and write metrics for the AdS space. We introduce a vector field with twist $\tau=6$ describing deuteron in the bulk of AdS space and other vector fields to describe photon respectively, write an effective action for the bulk fields interactions, find a $G_1(Q^2)$, $G_2(Q^2)$ and $G_3(Q^2)$ form factors, then quadrupole $G_Q(Q^2)$ and charge $G_C(Q^2)$ form-factors of a deuteron. Thus, from the charge $G_C(Q^2)$ form factor we find the deuteron charge radius $R_C$ in the framework of a hard-wall AdS/QCD model. Then we compare our result with the results soft-wall model and experimental data.