Application of nuclear density functionals to lepton number violating weak processes

Abstract

We present an application of energy density functional methods with the Gogny interaction to the calculation of nuclear matrix elements (NME) for neutrinoless double beta decay and double electron capture. Beyond mean field effects have been included by particle number and angular momentum restoration and shape mixing within the generator coordinate method (GCM) framework. We analyze in detail the NME for 116Cd nucleus which is one of the most promising candidates to detect neutrinoless double beta decay.