Neutrino production of hadrons at low energy and in the small $Q^2$ region

TL;DR

This paper uses PCAC to analyze neutrino-induced hadron production at low energies and small $Q^2$, confirming theoretical predictions and providing insights into the resonance to deep inelastic scattering transition.

Contribution

It applies a general formalism based on PCAC to calculate the Adler sum rule and hadron production cross sections in the resonance region, aligning well with theoretical expectations.

Findings

Good agreement with the Adler sum rule

Calculated $C_5^A(0)$ close to Goldberger-Treiman prediction

Formalism applicable to various reactions

Abstract

We use PCAC in the small $Q^2$ region in order to calculate the Adler sum rule and the production of hadrons in the low energy region where resonances dominate. We find very good agreement with the sum rule and with the computed cross sections. We find a value $C_5^A(0)$ close to the Goldberger-Treiman prediction. The formalism is general and can be applied to other reactions shedding light into the dynamical transition from resonances to deep inelastic scattering.