Neutrinoless double beta decay matrix elements in light nuclei

摘要

We present the first ab initio calculations of neutrinoless double beta decaymatrix elements in $A=6$-$12$ nuclei using Variational Monte Carlo wavefunctions obtained from the Argonne $v_{18}$ two-nucleon potential andIllinois-7 three-nucleon interaction. We study both light Majorana neutrinoexchange and potentials arising from a large class of multi-TeV mechanisms oflepton number violation. Our results provide benchmarks to be used in testingmany-body methods that can be extended to the heavy nuclei of experimentalinterest. In light nuclei we have also studied the impact of two-body shortrange correlations and the use of different forms for the transition operators,such as those corresponding to different orders in chiral effective theory.