# Dynamical Model of Coherent Electroweak Pion Production Reactions on Nuclei

## TL;DR

This paper introduces a comprehensive dynamical model combining single-nucleon electroweak pion production and pion-nucleus scattering to accurately describe coherent pion production on nuclei, validated against experimental data.

## Contribution

It presents a novel unified dynamical model integrating the Sato-Lee and Delta-hole models for coherent pion production on nuclei.

## Key findings

- Model successfully describes pion photo-production data.
- Predictions align with recent K2K and MiniBooNE neutrino data.
- Provides a reliable framework for neutrino-nucleus interaction studies.

## Abstract

We have developed a dynamical model for a unified description of the pion-nucleus scattering and photo- and neutrino-induced coherent pion production on nuclei. Our approach is based on a combined use of the Sato-Lee model for the electroweak pion production on a single nucleon and the Delta-hole model of pion-nucleus scattering. Numerical calculations are carried out for the case of the C12 target. After testing our model with the use of the pion photo-production data, we confront our predictions of the neutrino-induced coherent pion production reactions with the recent data from K2K and MiniBooNE.