Neutrino induced threshold production of two pions and N^*(1440) electroweak form factors

TL;DR

This paper investigates neutrino-induced two-pion production near threshold, emphasizing the role of the N*(1440) resonance and providing theoretical cross section calculations compared with experimental data.

Contribution

It introduces the inclusion of the N*(1440) resonance in modeling two-pion production, which was neglected in previous studies, to improve understanding of electroweak form factors.

Findings

N*(1440) significantly affects two-pion production cross sections.

Theoretical results align with existing experimental data.

Potential to extract N*(1440) electroweak transition form factors with future data.

Abstract

We study the threshold production of two pions induced by neutrinos in nucleon targets. The contribution of nucleon, pion and contact terms are calculated using a chiral Lagrangian. The contribution of the Roper resonance, neglected in earlier studies, has also been taken into account. The numerical results for the cross sections are presented and compared with the available experimental data. It has been found that in the two pion channels with $\pi^+\pi^-$ and $\pi^0\pi^0$ in the final state, the contribution of the $N^*(1440)$ is quite important and could be used to determine the $N^*(1440)$ electroweak transition form factors if experimental data with better statistics become available in the future.