Weak charged and neutral current induced one pion production off the nucleon

TL;DR

This paper models neutrino and antineutrino induced single pion production off nucleons, incorporating multiple resonances and background terms, and compares theoretical cross sections with experimental data.

Contribution

It provides a comprehensive theoretical framework including various resonances and background contributions for neutrino-induced pion production, fitting axial couplings to experimental data.

Findings

Calculated total cross sections match experimental data within uncertainties.

Inclusion of higher resonances improves model accuracy.

Deuteron effects significantly influence the cross section results.

Abstract

We present a study of neutrino/antineutrino induced charged and neutral current single pion production off the nucleon. For this, we have considered $P_{33}(1232)$ resonance, non-resonant background terms, other higher resonances like $P_{11}(1440)$, $S_{11}(1535)$, $D_{13}(1520)$, $S_{11}(1650)$ and $P_{13}(1720)$. For the non-resonant background terms a microscopic approach based on SU(2) non-linear sigma model has been used. The vector form factors for the resonances are obtained by using the relationship between the electromagnetic resonance form factors and helicity amplitudes provided by MAID. Axial coupling $C_5^{A}(0)$ in the case of $P_{33}(1232)$ resonance is obtained by fitting the ANL and BNL $\nu$-deuteron reanalyzed scattering data. The results are presented with and without deuteron effect for the total scattering cross sections for all possible channels viz. $\nu_l(\bar\nu_l)~+~N\rightarrow l^-(l^+)~+~N^\prime~+~\pi^i$; $\nu_l(\bar\nu_l)~+~N\rightarrow \nu_l(\bar\nu_l)~+~N^\prime~+~\pi^i$, where $N, N^\prime=p,n$, $\pi^i=~\pi^\pm$ or $\pi^0$ and $l=e, \mu$.