Revisiting $\nu_\mu(\bar\nu_\mu)$ and $\nu_e(\bar\nu_e) $ Induced Quasielastic Scattering from Nuclei in Sub-GeV Energy Region

TL;DR

This paper analyzes charged current quasielastic scattering cross sections for neutrinos and antineutrinos on various nuclear targets in the sub-GeV energy range, considering different nuclear models and effects.

Contribution

It provides a detailed comparison of CCQE cross sections using local Fermi gas models with RPA effects across multiple nuclei, highlighting differences due to lepton mass and form factors.

Findings

Differences in electron and muon production cross sections are quantified.

Impact of RPA effects on cross section calculations is demonstrated.

Uncertainties related to axial dipole mass and pseudoscalar form factors are discussed.

Abstract

We present the results of charged current quasielastic(CCQE) scattering cross sections from free as well as bound nucleons like in $^{12}C$, $^{16}O$, $^{40}Ar$ and $^{208}Pb$ nuclear targets in $E_\nu(_{\bar\nu})~\le~ $1 GeV energy region. The results are obtained using local Fermi gas model with and without RPA effect. The differences those may arise in the electron and muon production cross sections due to the different lepton mass, uncertainties in the axial dipole mass $M_A$ and pseudoscalar form factor, and due to the inclusion of second class currents have been highlighted for neutrino/antineutrino induced processes.