Single pion electro-- and neutrinoproduction on heavy targets

TL;DR

This paper calculates single pion electroproduction cross sections on heavy targets near the Delta(1232) resonance, accounting for final state interactions, and highlights implications for neutrino experiments and pion rescattering understanding.

Contribution

It introduces a detailed calculation of pion production on heavy nuclei incorporating the ANP model for final state interactions, relevant for neutrino physics.

Findings

Significant reduction of pi^0 W-spectra due to final state interactions.

Charged pion spectra are minimally affected by rescattering.

Results provide valuable input for neutrino experiment analyses.

Abstract

We present a calculation of single pion electroproduction cross sections on heavy targets in the kinematic region of the Delta(1232) resonance. Final state interactions of the pions are taken into account using the pion multiple scattering model of Adler, Nussinov and Paschos (ANP model). For electroproduction and neutral current reactions we obtain results for carbon, oxygen, argon and iron targets and find a significant reduction of the W-spectra for pi^0 as compared to the free nucleon case. On the other hand, the charged pion spectra are only little affected by final state interactions. Measurements of such cross sections with the CLAS detector at JLAB could help to improve our understanding of pion rescattering effects and serve as important/valuable input for calculations of single pion neutrinoproduction on heavy targets relevant for current and future long baseline neutrino experiments. Two ratios, in Eq. (3.8) and (3.10), will test important properties of the model.