Charge exchange reactions with central and tensor interactions and nuclear matrix elements associated with double-beta-decay neutrinos and astro neutrinos

Abstract

Nuclear matrix elements (NMEs) for neutrinoless beta-beta decays (DBD) and inverse-beta decays (IBD) are crucial for studying neutrino properties beyond and within the standard model by using DBDs and IBDs. The charge exchange nuclear reaction (CER) is a realistic probe for studying experimentally these NMEs. The present work shows for the first time an experimental way to extract the Gamow-Teller (GT) and tensor (T) NMEs associated with DBDs and IBDs from the q (momentum transfer) dependence of the CER cross-section by taking into accounts explicitly both the central and tensor interactions. The present method was applied for CERs on 71Ga used for the solar-neutrino and the Ga anomaly and on 100Mo and 128Te used for DBD and IBD. Impacts of the CER with the tensor interaction on the DBD and IBD NME studies are discussed.