Coupled-cluster calculations of neutrinoless double-beta decay in $^{48}$Ca

ORAL

Abstract

We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-beta decay of $^{48}$Ca. Benchmarks with the no-core shell model in several light nuclei and in the traditional shell model in the $pf$ shell inform us about the accuracy of our approach. For $^{48}$Ca we find a relatively small matrix element. We also compute the nuclear matrix element for the two-neutrino double-beta decay of $^{48}$Ca and find agreement with data when using a quenching factor deduced from two-body currents in the recent ab-initio calculation of the Ikeda sum-rule in $^{48}$Ca [Gysbers {\it et al.}, Nature Physics {\bf 15}, 428-431 (2019)]. Work available as [S. J. Novario, P. Gysbers, J. Engel, G. Hagen, G. R. Jansen, T. D. Morris, P. Navrátil, T. Papenbrock, S. Quaglioni, arXiv:2008.09696].

*US Department of Energy under Contract Nos. DE-FG02-96ER40963, DE-FG02-97ER41019, and DE-SC0008499

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Authors

  • Samuel Novario

    • Los Alamos National Laboratory

  • Peter Gysbers

    • TRIUMF; University of British Columbia

  • Jon Engel

    • University of North Carolina

  • Gaute Hagen

    • Oak Ridge National Laboratory; University of Tennessee

  • Gustav Jansen

    • Oak Ridge National Laboratory

  • Titus Morris

    • Oak Ridge National Laboratory

  • Petr Navrátil

    • TRIUMF

  • Thomas Papenbrock

    • University of Tennessee; Oak Ridge National Laboratory

  • Sofia Quaglioni

    • Lawrence Livermore National Laboratory