Single pion production in electron-proton interactions

TL;DR

This paper extends a single pion production model to higher energies and momentum transfers, aligning with QCD predictions, and refines form factors based on experimental data for better neutrino interaction simulations.

Contribution

It introduces new form factors and extends the MK model to high W and momentum transfer, improving neutrino-nucleon interaction modeling.

Findings

Extended model to high W and momentum transfer

Determined new form factors from experimental data

Provided uncertainties for model parameters

Abstract

This paper presents an extension of the MK single pion production model \cite{MK, MK2} to high hadron invariant mass ($W$) and high momentum transfer to conform to the predictions of perturbative QCD due to quark-hadron duality. New form factors for several resonant interactions and non-resonant background in the electron-nucleon cross-sections are determined taking into account the experimental data and improved evaluation techniques. Fits to electron-proton scattering data are used to calculate the vector-current form factors, and to assign uncertainties to the constrained free parameters of the model. The %hadron currents results from this work can be used to determine the vector current in the corresponding neutrino-nucleon cross-sections, which are an important input for event generators in long baseline neutrino oscillation measurements.