$\nu(\bar\nu)$-$^{208}$Pb deep inelastic scattering

TL;DR

This paper investigates nuclear-medium effects on weak structure functions in neutrino and antineutrino deep inelastic scattering on lead-208, using a relativistic nuclear model and meson cloud contributions, and compares results with experimental data.

Contribution

It introduces a comprehensive theoretical model incorporating nuclear spectral functions and meson cloud effects to analyze deep inelastic scattering on lead-208, providing detailed structure function ratios and cross section predictions.

Findings

Calculated structure functions and cross sections agree with CHORUS data.

Provided detailed ratios of structure functions for various nuclei.

Highlighted the significance of meson cloud contributions in nuclear effects.

Abstract

Nuclear-medium effects in the weak structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ in the charged current neutrino and antineutrino induced deep inelastic reactions in $^{208}$Pb have been studied. The calculations have been performed in a theoretical model using relativistic nuclear spectral functions which incorporate Fermi motion, binding and nucleon correlations. We also consider the pion and rho meson cloud contributions calculated from a microscopic model for meson-nucleus self-energies. Using these structure functions, the results for the differential cross section have been obtained and compared with the CERN Hybrid Oscillation Research apparatUS (CHORUS) data. The results for the ratios $\frac{2F_{i}^{Pb}}{208F_i^D}$, $\frac{4F_{i}^{Pb}}{208F_i^{He}}$, $\frac{12F_{i}^{Pb}}{208F_i^C}$, $\frac{16F_{i}^{Pb}}{208F_i^O}$, and $\frac{56F_{i}^{Pb}}{208F_i^{Fe}}$ (i=2,3) have also been obtained and a few have been compared with some of the phenomenological fits.