Symmetries of higher-spin fields and the electromagnetic N-N(1680) form factors

TL;DR

This paper investigates the Q^2-evolution of nucleon-to-N(1680) transition form factors using an effective field theory that respects the symmetries of spin-5/2 fields, achieving good experimental agreement.

Contribution

It introduces a symmetry-preserving Lagrangian for the N-N(1680) transition that models form factors with dispersion-like expansions within a vector-meson dominance framework.

Findings

Good agreement with experimental data on form factors.

The Lagrangian preserves all intrinsic symmetries of the spin-5/2 fields.

Form factors modeled as dispersion-like expansions.

Abstract

We study the Q^2-evolution of the form factors (FFs) for the nucleon-to-N(1680) transition in the framework of an effective field theory. To this end, the intrinsic symmetries of the spin-5/2 Rarita-Schwinger (RS) fields are analyzed, and a Lagrangian of the electromagnetic N-N(1680) interactions is constructed. The Lagrangian preserves all the intrinsic symmetries of the spin-5/2 field--point and gauge invariance--and does not involve lower-spin components of the reducible RS field. Besides, the symmetries postulate the definitions of the Lagrangian FFs. These FFs are modeled as dispersionlike expansions in a vector-meson--dominance model. A good agreement with the experimental data is achieved.