Charged-current neutrino-nucleus scattering off I127 and Cs133

Calculations of (anti)neutrino-nucleus scattering cross sections are vital since experimental results for these cross sections for terrestrial-based (anti)neutrino sources in the low-to-intermediate energy ranges are exceedingly rare. A recent measurement of the scattering of stopped-pion neutrinos off ¹²⁷I by the COHERENT Collaboration yielded a cross section that was only $41%$ of the expected theoretical prediction. Inspired by this, we have computed the cross sections for (anti)neutrino scatterings off ¹²⁷I and ¹³³Cs by considering also the effect of the quenching of the weak axial coupling gA on the results. Two quenching schemes, a conservative and a radical estimate, were considered. The cross sections as functions of the neutrino energy are presented along with folded cross sections for stopped-pion and supernova (anti)neutrino spectra. The nuclear model used was the microscopic quasiparticle-phonon model based on large single-particle model spaces and realistic G-matrix-based effective two-body interactions. The obtained inclusive cross sections for stopped-pion neutrino scattering off ¹²⁷I are in good agreement with the experimental results. The results indicate that discrepancy between the experimental and theoretical results could be at least partly explained by the quenching of gA.