Generalized baryon form factors and proton structure functions in the Sakai-Sugimoto model

TL;DR

This paper uses the Sakai-Sugimoto holographic model to compute baryon form factors and proton structure functions, revealing an approximate Callan-Gross relation in a specific kinematic regime.

Contribution

It provides the first holographic calculation of generalized baryon form factors and resonance contributions to proton structure functions within the Sakai-Sugimoto model.

Findings

Calculated Dirac and Pauli form factors for resonances

Estimated resonance contributions to structure functions

Found an approximate Callan-Gross relation at intermediate Bjorken x

Abstract

We investigate the production of positive parity baryon resonances in proton electromagnetic scattering within the Sakai-Sugimoto model. The latter is a string model for the non-perturbative regime of large $N_c$ QCD. Using holographic techniques we calculate the generalized Dirac and Pauli form factors that describe resonance production. We use these results to estimate the contribution of resonance production to the proton structure functions. Interestingly, we find an approximate Callan-Gross relation for the structure functions in a regime of intermediate values of the Bjorken variable.