Executive Summary : | "The neutrinoless double beta (0vββ) decay is a rare lepton number that violates the weak nuclear process, allowing two neutrons inside even-even nuclei to decay into two protons without a neutrino appearing in the final state. This process can reveal the Majorana nature of neutrino and predict the absolute neutrino mass, which is still unknown. Research on 0vββ decay focuses on calculating nuclear matrix elements (NMEs) using many-body nuclear models.
The main objective of this proposal is to study 0vββ decay in two popular beyond the standard model (BSM) theories: the left-right symmetric model (LRSM) and the supersymmetric (SUSY) model. The 0vββ decay is forbidden in the standard model but allowed in most BSM models because it occurs only when lepton number violations are allowed. The researchers aim to use a many-body nuclear shell model to calculate NME for 0vββ decay of 48Ca, 76Ge, and 82Se in the LRSM and SUSY models. The non-closure approach of NME calculations will be used to improve the reliability of NMEs, which will be essential for predicting the correct value of neutrino mass if 0vββ decay is observed in future experiments. This approach will help to understand the contribution of the supersymmetric and left-right symmetric models of 0vββ decay and help compare results with other nuclear models, minimizing the gap between different models." |