Electromagnetic Nucleon-to-Delta Transition in Holographic QCD

TL;DR

This paper uses holographic QCD to calculate nucleon-to-delta electromagnetic transition form factors, showing they follow large N_c patterns and agree reasonably with experimental data at low momentum transfer.

Contribution

It introduces a relativistic extension of nucleon-delta-vector meson interaction vertices within holographic QCD and computes transition form factors.

Findings

Form factors follow large N_c patterns at low momentum transfer.

Results are in reasonable agreement with experimental data.

Provides a holographic model-based calculation of transition form factors.

Abstract

We study nucleon-to-delta electromagnetic transition form factors and relations between them within the framework of holographic dual model of QCD proposed by Sakai and Sugimoto. In this setup, baryons appear as topological solitons of the five dimensional holographic gauge theory that describes a tower of mesons and their interactions. We find a relativistic extension of the nucleon-delta-vector meson interaction vertices and use these to calculate transition form factors from holographic QCD. We observe that at low momentum transfer, magnetic dipole, electric and Coulomb quadrupole form factors and their ratios follow the patterns expected in the large N_c limit. Our results at this approximation are in reasonable agreement with experiment.