Neutron transfer reactions to constrain Matrix element of neutrinoless double beta decay of $^{124}$Sn
Résumé
Neutrinoless double beta decay (NDBD) is expected to give the first direct measure of the effective neutrino mass.The uncertainty in the latter will be dominated by that in the relevant nuclear matrix element (NME) [1]. Of the various observables that could be used to constrain the NME, the occupancy and vacancy of ground state wavefunctions of the parent and daughter nuclei involved in NDBD, are important ingredients [1, 2]. Single-nucleon transfer reaction cross-sections can be used for this purpose, making use of the Macfarlane and French sum rules [3]