Charged and Neutral Current Pion Production in Neutrino-Nucleus Scattering
Kapil Saraswat, Prashant Shukla, Vineet Kumar, Venktesh Singh

TL;DR
This paper models charged and neutral current coherent pion production in neutrino-nucleus scattering using PCAC and Glauber models, providing cross-section calculations for various nuclei and comparing them with experimental data.
Contribution
It introduces a formalism combining PCAC and Glauber models to calculate neutrino-induced pion production cross sections in nuclei.
Findings
Calculated cross sections agree with experimental data
Glauber model effectively describes pion-nucleus elastic scattering
Provides cross-section predictions for multiple nuclei
Abstract
In this article, we present the charged and neutral current coherent pion production in the neutrino-nucleus interaction in the resonance region using the formalism based on the 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 approach. We calculate the integrated cross sections for neutrino-carbon, neutrino-iron and neutrino-oxygen scattering. The results of integrated cross-section calculations are compared with the measured data
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