A relativistic model for neutrino pion production from nuclei in the resonance region

TL;DR

This paper introduces a relativistic model for neutrino-induced pion production from nuclei, incorporating bound state derivation and final-state interactions, enabling detailed analysis of various kinematic distributions.

Contribution

It presents a novel relativistic framework combining bound state calculations and a Glauber-based approach for final-state interactions in neutrino pion production.

Findings

Effective description of pion production in the resonance region.

Capability to analyze detailed kinematic distributions.

Inclusion of relativistic effects in the modeling.

Abstract

We present a relativistic model for electroweak pion production from nuclei, focusing on the $\Delta$ and the second resonance region. Bound states are derived in the Hartree approximation to the $\sigma-\omega$ Walecka model. Final-state interactions of the outgoing pion and nucleon are described in a factorized way by means of a relativistic extension of the Glauber model. Our formalism allows a detailed study of neutrino pion production through $Q^2$, $W$, energy, angle and out-of-plane distributions.