# Resonance production by neutrinos: I. J=3/2 Resonances

## TL;DR

This paper derives formulas for producing J=3/2 resonances via neutrinos, focusing on the P_{33}(1232) resonance, comparing theoretical form factors with experimental data, and explaining features like the low Q^2 minimum.

## Contribution

It provides general formulas for J=3/2 resonance production by neutrinos and compares theoretical form factors with experimental results, offering insights into the low Q^2 behavior.

## Key findings

- The low Q^2 minimum results from vector form factors vanishing, muon mass effects, and Pauli blocking.
- Theoretical form factors are consistent with experimental data at various energies.
- Suggestions are made for future research improvements.

## Abstract

The article contains general formulas for the production of J=3/2 resonances by neutrinos and antineutrinos. It specializes to the P_{33}(1232) resonance whose form factors are determined by theory and experiment and then are compared with experimental results at low and high energies. It is shown that the minimum in the low Q^2 region is a consequence of a combined effect from the vanishing of the vector form factors, the muon mass and Pauli blocking. Several improvements for the future investigations are suggested.