A study of nuclear effect in $F_3$ structure function in the deep inelastic $\nu(\bar\nu)$ reactions in nuclei

TL;DR

This paper investigates nuclear effects on the $F_3$ structure function in deep inelastic neutrino reactions on iron, incorporating various nuclear corrections and comparing results with experimental data.

Contribution

It introduces a comprehensive calculation of nuclear effects on $F_3$ using relativistic spectral functions and compares with experimental measurements.

Findings

Nuclear effects significantly modify $F_3$ in neutrino-iron interactions.

Results align with NuTeV and older experimental data.

Fermi motion, binding, and shadowing are crucial factors.

Abstract

We study nuclear effect in the $F^A_3(x)$ structure function in the deep inelastic neutrino reactions on iron by taking into account Fermi motion, binding, target mass correction, shadowing and anti-shadowing corrections. Calculations have been done in a local density approximation using relativistic nuclear spectral functions which include nucleon correlations for nuclear matter. Results for $F^A_3(x)$ have been compared with the results reported at NuTeV and also with some of the older experiments reported in the literature.