Parity violating asymmetry with nuclear medium effects in deep inelastic $\vec e$ scattering

TL;DR

This paper investigates parity violating asymmetry in deep inelastic electron scattering on various nuclear targets, incorporating nuclear medium effects and meson cloud contributions to improve understanding of nuclear structure and weak interactions.

Contribution

It introduces a detailed model for $A_{PV}$ in nuclear targets that includes Fermi motion, binding energy, nucleon correlations, and meson cloud effects, extending previous electromagnetic and weak interaction studies.

Findings

Nuclear medium effects significantly influence $A_{PV}$ measurements.

Meson cloud contributions modify the asymmetry predictions.

Model successfully describes existing and future experimental data.

Abstract

Recently at JLab using polarised electron beam on unpolarised deuteron target measurements have been performed for the parity violating asymmetry($A_{PV}$) and there are future plans to measure this asymmetry using various nuclear targets. In this paper, we study $A_{PV}$ in nuclear targets like $^{12}C$, $^{56}Fe$ and $^{208}Pb$, in a local density approximation using spectral function which takes into account Fermi motion, binding energy correction and nucleon correlations. Furthermore, the pion and rho cloud contributions have also been taken into account. The present model has been used earlier to study medium effects in electromagnetic as well as weak interaction induced processes in the DIS region.