Low-energy neutral-current neutrino scattering onTe128,130isotopes

Abstract

Differential, total, and cumulative cross section calculations for neutral current neutrino scattering on $^{128,130}\mathrm{Te}$ isotopes are performed in the context of the quasiparticle random phase approximation by utilizing realistic two-nucleon forces. These isotopes are the main contents of detectors of ongoing experiments with multiple neutrino physics goals (COBRA and CUORE at Gran Sasso), including potential low-energy astrophysical neutrino (solar, supernova, geoneutrinos) detection. The incoming neutrino energy range adopted in our calculations (${\ensuremath{\varepsilon}}_{\ensuremath{\nu}}\ensuremath{\leqslant}100$ MeV) covers the low-energy $\ensuremath{\beta}$-beam neutrinos and the pion-muon stopped neutrino beams existing or planned to be conducted at future neutron spallation sources. The aim of these facilities is to measure neutrino-nucleus cross sections at low and intermediate neutrino energies with the hope of shedding light on open problems in neutrino-induced reactions on nuclei and neutrino astrophysics. Such probes motivate theoretical studies on weak responses of various nuclear systems; thus the evaluated cross sections may be useful in this direction.