Neutrino reactions via neutral and charged current by Quasi-particle Random Phase Approximation(QRPA)

TL;DR

This paper develops a QRPA-based theoretical framework to accurately model neutrino scattering off nuclei via neutral and charged currents, incorporating various pairing correlations, and validates it against experimental data.

Contribution

The paper introduces a combined np + nn + pp QRPA method for neutrino-nucleus interactions, enabling consistent description of both neutral and charged current reactions.

Findings

Results agree with other theoretical models.

Reproduces available experimental data.

Applicable to multiple nuclei like C-12, Fe-56, Ni-56.

Abstract

We developed the quasi-particle random phase approximation (QRPA) for the neutrino scattering off even-even nuclei via neutral current (NC) and charged cur- rent (CC). The QRPA has been successfully applied for the \beta and \beta\beta decay of relevant nuclei. To describe neutrino scattering, general multipole transitions by weak interactions with a finite momentum transfer are calculated for NC and CC reaction with detailed formalism. Since we consider neutron-proton (np) pairing as well as neutron-neutron (nn) and proton-proton (pp) pairing correlations, the nn + pp QRPA and np QRPA are combined in a framework, which enables to describe both NC and CC reactions in a consistent way. Numerical results for \nu-^{12}C, -^{56}Fe and -^{56}Ni reactions are shown to comply with other theoretical calculations and reproduce well available experimental data.