Neutrino neutral-current elastic scattering on 12C

Understand

The neutral current elastic scattering of neutrinos on Carbon and $CH_2$ targets is computed using the relativistic distorted-wave impulse approximation with relativistic optical potential.

• Results for exclusive and inclusive neutrino reactions on ${}^{12}$C target are presented.
• We show that the nuclear effects on the shape of four-momentum transferred squared distribution $d\sigma/dQ^2_{QE}$ in neutrino neutral-current and charged-current quasi-elastic scattering are similar.
• We also calculate flux-averaged neutral current elastic differential cross section $d\sigma/dQ^2_{QE}$ for neutrino scattering from $CH_2$, as well as, the neutral-current to charged-current cross section ratio as functions of $Q^2_{QE}$.