Generator-coordinate reference states for spectra and 0νββ decay in the in-medium similarity renormalization group

Yao, J. M.; Engel, J.; Wang, L. J.; Jiao, C. F.; Hergert, H.

doi:10.1103/PhysRevC.98.054311

Title: Generator-coordinate reference states for spectra and $0 ν β β$ decay in the in-medium similarity renormalization group

Journal Article · Fri Nov 16 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.054311· OSTI ID:1544164

Yao, J. M. ^[1]; Engel, J. ^[2]; Wang, L. J. ^[2]; Jiao, C. F. ^[3]; Hergert, H. ^[4]

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)
Univ. of North Carolina, Chapel Hill, NC (United States); San Diego State Univ., CA (United States)
Michigan State Univ., East Lansing, MI (United States)

We use a reference state based on symmetry-restored states from deformed mean-field or generator-coordinate-method (GCM) calculations in conjunction with the in-medium similarity- renormalization group (IMSRG) to compute spectra and matrix elements for neutrinoless double- beta (0$$v$$ββ) decay. Because the decay involves ground states from two nuclei, we use evolved operators from the IMSRG in one nucleus in a subsequent GCM calculation in the other. We benchmark the resulting IMSRG+GCM method against complete shell-model diagonalization for both the energies of low-lying states in ⁴⁸Ca and ⁴⁸Ti and the 0$$v$$ββ matrix element for the decay of ⁴⁸Ca, all in a single valence shell. Our approach produces better spectra than either the IMSRG with a spherical-mean-field reference or GCM calculations with unevolved operators. For the 0$$v$$ββ matrix element the improvement is slight.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0008641; SC0017887; FG02-97ER41019; SC0004142; SC0015376; AC02-05CH11231

OSTI ID:: 1544164

Alternate ID(s):: OSTI ID: 1482422

Journal Information:: Physical Review C, Vol. 98, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 37 works

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Effect of residual many-body forces due to evolution in the in-medium similarity renormalization group method Puddu, G. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11 https://doi.org/10.1088/1361-6471/ab0ecb	journal	September 2019
Sub-barrier fusion involving odd mass nuclei: The case of 36S + 50Ti, 51V Colucci, G.; Montagnoli, G.; Stefanini, A. M. The European Physical Journal A, Vol. 55, Issue 7 https://doi.org/10.1140/epja/i2019-12796-0	journal	July 2019
Variational approximations to exact solutions in shell-model valence spaces: calcium isotopes in the pf-shell Bally, B.; Sánchez-Fernández, A.; Rodríguez, T. R. arXiv https://doi.org/10.48550/arxiv.1907.05493	text	January 2019

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