Effects of Nuclear Medium on the Sum Rules in Electron and Neutrino Scattering

TL;DR

This paper investigates how nuclear medium effects alter parton model sum rules in nuclei, considering factors like Fermi motion, meson clouds, and shadowing, to compare with free nucleon cases.

Contribution

It introduces a comprehensive microscopic model that incorporates various nuclear medium effects on sum rules in electron and neutrino scattering.

Findings

Nuclear medium effects significantly modify sum rules.

Meson cloud contributions impact the sum rules.

Shadowing effects are non-negligible in nuclei.

Abstract

In this work, we study the influence of nuclear medium effects on various parton model sum rules in nuclei and compare the results with the free nucleon case. We have used relativistic nucleon spectral function to take into account Fermi motion, binding and nucleon correlations. The pion and rho meson cloud contributions have been incorporated in a microscopic model. The effect of shadowing has also been considered.