Consistent interactions for high-spin baryons

TL;DR

This paper develops gauge-invariant interactions for high-spin baryons, revealing a spin-dependent momentum behavior that causes unphysical effects, and proposes a new form factor to mitigate these issues.

Contribution

It introduces a method to construct gauge-invariant interactions for arbitrary spin fermions and proposes a novel spin-dependent form factor to address unphysical artifacts.

Findings

Interaction power increases with fermion spin

Unphysical energy dependence arises with standard form factors

A new spin-dependent form factor suppresses artifacts

Abstract

Consistent interactions for off-shell fermion fields of arbitrary spin are constructed from the gauge-invariance requirement of the interaction Lagrangians. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. We find that the power of the momentum dependence of a consistent interaction rises with the spin of the fermion field. This leads to unphysical structures in the energy dependence of the computed tree-level cross sections when the short-distance physics is cut off with standard hadronic form factors. A novel, spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.