Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions
Abstract
We report Jπ = 0+ ground-state energies and point-proton radii of 4He, 8Be, 12C, 16O, and 20Ne nuclei calculated by the ab initio no-core Monte Carlo shell model with the JISP16 and Daejeon16 nonlocal NN interactions. Ground-state energies are obtained in the basis spaces up to seven oscillator shells (Nshell=7) with several oscillator energies (ℏω) around the optimal oscillator energy for the convergence of ground-state energies. These energy eigenvalues are extrapolated to obtain estimates of converged ground-state energies in each basis space using energy variances of computed energy eigenvalues. We further extrapolate these energy-variance-extrapolated energies obtained in the finite basis spaces to infinite basis-space results with an empirical exponential form. This form features a dependence on the basis-space size but is independent of the value of ℏω used for the harmonic-oscillator basis functions. Point-proton radii for these states of atomic nuclei are also calculated following techniques employed for the energies. From these results, it is found that the Daejeon16 NN interaction provides good agreement with experimental data up to approximately 16O, while the JISP16 NN interaction provides good agreement with experimental data up to approximately 12C. Beyond these nuclei, the interactions produce overbinding accompanied by radii that are too small.more »
- Authors:
-
[1];
[3];
[2]
- RIKEN Nishina Center, Wako (Japan); Univ. of Tokyo (Japan)
- Iowa State Univ., Ames, IA (United States)
- RIKEN Nishina Center, Wako (Japan); Univ. of Tokyo (Japan); Japan Atomic Energy Agency (JAEA), Tokai (Japan)
- Univ. of Tokyo (Japan)
- Univ. of Tokyo (Japan); Japan Atomic Energy Agency (JAEA), Tokai (Japan)
- Publication Date:
- Research Org.:
- Iowa State Univ., Ames, IA (United States); University of North Carolina, Chapel Hill, NC (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); JSPS KAKENHI
- OSTI Identifier:
- 1979833
- Grant/Contract Number:
- FG02-87ER40371; SC0015376; SC0018223; JP21K03564; JP19H05145; JP21H00117
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 5; 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; nuclear binding; nuclear charge distribution; nuclear forces; nuclear many-body theory; shell model; ab initio calculations
Citation Formats
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., and Vary, J. P. Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions. United States: N. p., 2021.
Web. doi:10.1103/physrevc.104.054315.
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., & Vary, J. P. Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions. United States. https://doi.org/10.1103/physrevc.104.054315
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., and Vary, J. P. Wed .
"Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions". United States. https://doi.org/10.1103/physrevc.104.054315. https://www.osti.gov/servlets/purl/1979833.
@article{osti_1979833,
title = {Ground-state properties of light 4n self-conjugate nuclei in ab initio no-core Monte Carlo shell model calculations with nonlocal N N interactions},
author = {Abe, T. and Maris, P. and Otsuka, T. and Shimizu, N. and Utsuno, Y. and Vary, J. P.},
abstractNote = {We report Jπ = 0+ ground-state energies and point-proton radii of 4He, 8Be, 12C, 16O, and 20Ne nuclei calculated by the ab initio no-core Monte Carlo shell model with the JISP16 and Daejeon16 nonlocal NN interactions. Ground-state energies are obtained in the basis spaces up to seven oscillator shells (Nshell=7) with several oscillator energies (ℏω) around the optimal oscillator energy for the convergence of ground-state energies. These energy eigenvalues are extrapolated to obtain estimates of converged ground-state energies in each basis space using energy variances of computed energy eigenvalues. We further extrapolate these energy-variance-extrapolated energies obtained in the finite basis spaces to infinite basis-space results with an empirical exponential form. This form features a dependence on the basis-space size but is independent of the value of ℏω used for the harmonic-oscillator basis functions. Point-proton radii for these states of atomic nuclei are also calculated following techniques employed for the energies. From these results, it is found that the Daejeon16 NN interaction provides good agreement with experimental data up to approximately 16O, while the JISP16 NN interaction provides good agreement with experimental data up to approximately 12C. Beyond these nuclei, the interactions produce overbinding accompanied by radii that are too small. These findings suggest and encourage further revisions of nonlocal NN interactions towards the investigation of nuclear structure in heavier-mass regions.},
doi = {10.1103/physrevc.104.054315},
journal = {Physical Review. C},
number = 5,
volume = 104,
place = {United States},
year = {Wed Nov 24 00:00:00 EST 2021},
month = {Wed Nov 24 00:00:00 EST 2021}
}
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