Electromagnetic Baryon Form Factors from Holographic QCD

Abstract

In the holographic model of QCD suggested by Sakai and Sugimoto, baryons are chiral solitons sourced by D4 instantons in bulk of size 1/\sqrtλ with λ=g^2N_c. We quantize the D4 instanton semiclassically using \hbar=1/(N_cλ) and non-rigid constraints on the vector mesons. The holographic baryon is a small chiral bag in the holographic direction with a Cheshire cat smile. The vector-baryon interactions occur at the core boundary of the instanton in D4. They are strong and of order 1/\sqrt{\hbar}. To order \hbar^0 the electromagnetic current is entirely encoded on the core boundary and vector-meson dominated. To this order, the electromagnetic charge radius is of order λ^0. The meson contribution to the baryon magnetic moments sums identically to the core contribution. The proton and neutron magnetic moment are tied by a model independent relation similar to the one observed in the Skyrme model.

26 pages, 2 figures

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Cited by in corpus (7)

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• Model Independent Tests of Skyrmions and Their Holographic Cousins
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Baryonic Response of Dense Holographic QCD
• Glueball correlators as holograms
• Skyrmions with holography and hidden local symmetry
• On the Baryonic Density and Susceptibilities in a Holographic Model of QCD