Converged ab initio calculations of heavy nuclei

Miyagi, T.; Stroberg, S. R.; Navrátil, P.; Hebeler, K.; Holt, J. D.

doi:10.1103/physrevc.105.014302

Converged ab initio calculations of heavy nuclei

Journal Article · Mon Jan 03 00:00:00 EST 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.105.014302· OSTI ID:1979849

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TRIUMF, Vancouver, BC (Canada); OSTI
Univ. of Washington, Seattle, WA (United States)
TRIUMF, Vancouver, BC (Canada)
Technische Univ. Darmstadt (Germany); GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)
TRIUMF, Vancouver, BC (Canada); McGill Univ., Montreal, QC (Canada)

We propose a novel storage scheme for three-nucleon (3N) interaction matrix elements relevant for the normal-ordered two-body approximation used extensively in ab initio calculations of atomic nuclei. This scheme reduces the required memory by approximately two orders of magnitude, which allows the generation of 3N interaction matrix elements with the standard truncation of E_3max=28, well beyond the previous limit of 18. We demonstrate that this is sufficient to obtain the ground-state energy of ¹³²Sn converged to within a few MeV with respect to the E_3max truncation. In addition, we study the asymptotic convergence behavior and perform extrapolations to the un-truncated limit. Finally, we investigate the impact of truncations made when evolving free-space 3N interactions with the similarity renormalization group. We find that the contribution of blocks with angular momentum J_rel > 9/2 to the ground-state energy is dominated by a basis-truncation artifact, which vanishes in the large-space limit, so these computationally expensive components can be neglected. For the two sets of nuclear interactions employed in this work, the resulting binding energy of ¹³²Sn agrees with the experimental value within theoretical uncertainties. This work enables converged ab initio calculations of heavy nuclei.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: German Research Foundation (DFG); National Science and Engineering Research Council (NSERC); USDOE Office of Science (SC)

Grant/Contract Number:: FG02-97ER41014

OSTI ID:: 1979849

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 1 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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