Holographic Approaches to DIS on a Nucleus

Abstract

We consider deep inelastic scattering (DIS) on a dense nucleus described as an extremal RN-AdS black hole with holographic quantum fermions in the bulk. We find that the R-ratio (the ratio of the structure function of the black hole to proton) exhibit shadowing for $x<0.1$, anti-shadowing for $0.1<x<0.3$, EMC-like effect for $0.3<x<0.8$ and Fermi motion for $x>0.8$ in a qualitative agreement with the experimental observation of the ratio for DIS on nucleus for all range of $x$. We also take the dilute limit of the black hole and show that its R-ratio exhibits EMC-like effect for $0.2<x<0.8$ and the Fermi motion for $x>0.8$, and no shadowing is observed in the dilute limit for both bottom-up (using Thomas-Fermi approximation for the nucleon distribution inside the dilute nucleus), and top-down (considering the dilute nucleus to be a Fermi gas in AdS) approaches.

Comments: Proceeding written for INT Program (INT-18-3) "Probing Nucleons and Nuclei in High Energy Collisions" (November 14, 2018)