Bulk-to-boundary propagators with arbitrary total angular momentum $J$ in soft-wall AdS/QCD

TL;DR

This paper derives and solves equations for bulk-to-boundary propagators with arbitrary angular momentum in a soft-wall AdS/QCD model, enabling detailed study of hadron transition form factors for various J values.

Contribution

It extends previous work by analytically deriving and solving propagator equations for any total angular momentum J in soft-wall AdS/QCD.

Findings

Analytical solutions for propagators with arbitrary J.

Framework for studying transition form factors for on-shell and off-shell hadrons.

Extension of previous J=1 studies to general J cases.

Abstract

We derive the equations of motion for the bulk-to-boundary propagators of the anti-de Sitter (AdS) boson and fermion fields with arbitrary total angular momentum $J$, in a soft-wall AdS/QCD model and solve it analytically. It provides the opportunity to study transition form factors induced by these bulk-to-boundary propagators, both for on-shell and off-shell hadrons. This is a continuation of our study of hadron form factors induced by the bulk-to-boundary propagator with total angular momentum $J=1$ (e.g., electromagnetic form factors of mesons, nucleons, and nucleon resonances).