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

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4];  [1];  [1];  [1]
  1. Iowa State Univ., Ames, IA (United States)
  2. Univ. of North Carolina, Chapel Hill, NC (United States); Michigan State Univ., East Lansing, MI (United States)
  3. Univ. of North Carolina, Chapel Hill, NC (United States)
  4. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
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 Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)
OSTI Identifier:
1800677
Grant/Contract Number:  
FG02-87ER40371; FG02-97ER41019; SC0015376; SC0017887; SC0018223; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C
Additional Journal Information:
Journal Volume: 102; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics

Citation Formats

Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., and Vary, J. P. Benchmark neutrinoless double-β decay matrix elements in a light nucleus. United States: N. p., 2020. Web. doi:10.1103/physrevc.102.014302.
Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., & Vary, J. P. Benchmark neutrinoless double-β decay matrix elements in a light nucleus. United States. https://doi.org/10.1103/physrevc.102.014302
Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., and Vary, J. P. Thu . "Benchmark neutrinoless double-β decay matrix elements in a light nucleus". United States. https://doi.org/10.1103/physrevc.102.014302. https://www.osti.gov/servlets/purl/1800677.
@article{osti_1800677,
title = {Benchmark neutrinoless double-β decay matrix elements in a light nucleus},
author = {Basili, R. A. M. and Yao, J. M. and Engel, J. and Hergert, H. and Lockner, M. and Maris, P. and Vary, J. P.},
abstractNote = {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.},
doi = {10.1103/physrevc.102.014302},
journal = {Physical Review. C},
number = 1,
volume = 102,
place = {United States},
year = {Thu Jul 02 00:00:00 EDT 2020},
month = {Thu Jul 02 00:00:00 EDT 2020}
}

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