Benchmark neutrinoless double-β decay matrix elements in a light nucleus

Basili, R. A. M.; Yao, J. M.; Engel, J.; Hergert, H.; Lockner, M.; Maris, P.; Vary, J. P.

doi:10.1103/physrevc.102.014302

Title: Benchmark neutrinoless double-β decay matrix elements in a light nucleus

Journal Article · Thu Jul 02 00:00:00 EDT 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.014302· OSTI ID:1800677

^[1];

^[2]; Engel, J. ^[3];

^[4]; Lockner, M. ^[1]; Maris, P. ^[1]; Vary, J. P. ^[1]

Iowa State Univ., Ames, IA (United States)
Univ. of North Carolina, Chapel Hill, NC (United States); Michigan State Univ., East Lansing, MI (United States)
Univ. of North Carolina, Chapel Hill, NC (United States)
Michigan State Univ., East Lansing, MI (United States)

We compute nuclear matrix elements of neutrinoless double-β decay mediated by light Majorana-neutrino exchange in the $$\textit{A}$$ = 6 system. The goal for this work is to benchmark two many-body approaches, the no-core shell model and the multireference in-medium similarity renormalization group (SRG). We use a SRG-evolved next-to-next-to-next-to-leading chiral order two-body potential for the nuclear interaction, and make the approximation that the 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-β decay matrix elements produced by the two approaches show significant agreement. We discuss the implications for calculations in heavier nuclei.

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Research Organization:: Iowa State Univ., Ames, IA (United States); University of North Carolina, Chapel Hill, NC (United States); Michigan State Univ., East Lansing, MI (United States); Univ. of Tennessee, Knoxville, TN (United States); Univ. of California, Oakland, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Grant/Contract Number:: FG02-87ER40371; FG02-97ER41019; SC0015376; SC0017887; SC0018223; AC02-05CH11231

OSTI ID:: 1800677

Journal Information:: Physical Review. C, Vol. 102, Issue 1; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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