Deep inelastic scattering on a nucleus using holography

We consider deep inelastic scattering (DIS) on a nucleus described using a density expansion. In leading order, the scattering is dominated by the incoherent scattering on individual nucleons distributed using the Thomas-Fermi approximation. We use the holographic structure functions for DIS scattering on single nucleons to make a nonperturbative estimate of the nuclear structure function in leading order in the density. Our results are compared to the fits from data in the large-x regime.

Figure 1

Large-x dependence of the nucleon structure function $F_2^p[x]$ for weak coupling (dashed curve) and strong coupling (solid curve) normalized to 1.

Figure 2

R-ratio at large x using the leading density contribution (3.9) and the holographic nucleon structure function (3.7) (solid curves), versus the parametrized empirical ratio from [14] (dashed curves), for $A=12$ (blue curves) and $A=42$ (red curves).