Abstract

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 non-perturbative estimate of the nuclear structure function in leading order in the density. Our results are compared to the data in the large-x regime.

Highlights

  • Many years ago, the EMC Collaboration observed that the structure function of iron differs substantially from that of the deuteron

  • The large body of empirical deep inelastic scattering (DIS) scattering on nuclei points at the enhancement of incoherent scattering in DIS, whereby two or more nucleons act coherently to produce sizable deviations from incoherent scattering as the sum of DIS scattering over the individual nuclear structure functions

  • We recall that the low-x regime in the extreme case of coherent scattering is captured in holography by scattering on an extremal Reissner-Nordström–AdS black hole in leading order, as we discussed recently in [15]

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Summary

INTRODUCTION

The EMC Collaboration observed that the structure function of iron differs substantially from that of the deuteron. The large body of empirical DIS scattering on nuclei points at the enhancement of incoherent scattering in DIS, whereby two or more nucleons act coherently to produce sizable deviations from incoherent scattering as the sum of DIS scattering over the individual nuclear structure functions. The partonic operators develop large anomalous dimensions as they carry color and radiate strongly Their energy is quickly depleted before they are struck, leaving only the colorless hadronic structures to scatter off, i.e., the nucleon and its pion cloud.

FINITE NUCLEUS
Density expansion
Thomas-Fermi approximation
NUCLEUS STRUCTURE FUNCTIONS
Leading density contribution
Holographic nucleon structure function
R-ratio
CONCLUSIONS

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