Coherent Pion Production in Neutrino Nucleus Scattering

TL;DR

This paper investigates coherent pion production in neutrino-nucleus interactions using a PCAC-based formalism, calculating cross sections with the Glauber model, and compares results with experimental data for carbon and predicts for iron.

Contribution

It introduces a PCAC-based approach combined with the Glauber model to calculate neutrino-induced coherent pion production cross sections.

Findings

Calculated cross sections agree with experimental data for carbon.

Provided predictions for iron neutrino scattering.

Demonstrated the effectiveness of the PCAC and Glauber model combination.

Abstract

In this article, we study the coherent pion production in neutrino-nucleus interaction in the resonance region using the formalism based on partially conserved axial current (PCAC) theorem which relates the neutrino-nucleus cross section to the pion-nucleus elastic cross section. The pion nucleus elastic cross section is calculated using the Glauber model in terms of pion-nucleon cross sections obtained by parameterizing the experimental data. We calculate the differential and integrated cross sections for charged current coherent pion production in neutrino carbon scattering. The results of integrated cross section calculations are compared with the measured data. Predictions for the differential and integrated cross sections for coherent pion productions in neutrino iron scattering using above formalism are also made.