A new IMSRG+GCM framework gives an ab initio 0νββ matrix element of 0.61 for 48Ca, near the low end of phenomenological predictions.
Benchmark neutrinoless double-beta decay matrix elements in a light nucleus
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abstract
We compute nuclear matrix elements of neutrinoless double-beta decay mediated by light Majorana-neutrino exchange in the A = 6 system. The goal is to benchmark two many-body approaches, the No-Core Shell Model and the Multi-Reference In-Medium Similarity Renormalization Group. We use the SRG-evolved chiral N3LO-EM500 potential for the nuclear interaction, and make the approximation that isospin is conserved. We compare the results of the two approaches as a function of the cutoff on the many-body basis space. Although differences are seen in the predicted nuclear radii, the ground-state energies and neutrinoless double-beta decay matrix elements produced by the two approaches show significant agreement. We discuss the implications for calculations in heavier nuclei.
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Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of $^{48}$Ca
A new IMSRG+GCM framework gives an ab initio 0νββ matrix element of 0.61 for 48Ca, near the low end of phenomenological predictions.