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

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.

v3: 38 pages, 25 figures. We added a new subsection in order to compare our results with experimental data. To appear in Nucl. Phys. B

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• Proton and neutron form factors from deformed gravity/gauge duality
• Production of negative parity baryons in the holographic Sakai-Sugimoto model
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity
• Relativistic baryons in the Skyrme model revisited
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD