Weak pion-production and the second resonance region

TL;DR

This paper calculates neutrino-induced pion production cross sections on nucleons, incorporating multiple resonances up to 1.6 GeV, and demonstrates improved agreement with experimental data over models considering only the Delta(1232).

Contribution

It introduces a comprehensive formalism for resonance states, including multiple resonances and different propagator approaches, enhancing the accuracy of pion-production cross section predictions.

Findings

Including multiple resonances improves cross section modeling.

The formalism accurately describes antineutrino interactions.

Different resonance propagator approaches are tested for robustness.

Abstract

In this work we report the calculation of the total cross section for pion-production by the dispersion of neutrinos on nucleons. We use a consistent formalism for the intermediate resonance states of spin $3/2$ , taking care on the conditions imposed by the invariance on contact transformations and using the Sachs parametrization for the form factors. In addition, we incorporate states in the second resonance region up to 1.6 GeV and implement different approaches for all the dressed resonance propagators. In addition to the $\Delta$(1232), we include the N$^*$(1440),N$^*$(1535)and N$^*$(1520) resonance contributions, and it is shown that this inclusion improve the description of the total cross section regards a model where only the $\Delta$(1230) resonance is considered. Also results for antineutrinos are properly described.