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Title: Effective interactions in the s d shell

Abstract

We perform here a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and the Okubo-Lee-Suzuki transformation. We investigate the monopole properties of those interactions in comparison with the phenomenological universal sd-shell interaction, USDB. Theoretical binding energies and low-energy spectra of O isotopes and of selected sd-shell nuclei, are presented. We conclude that there is a noticeable improvement in the quality of the effective interaction when it is derived from the Daejeon16 potential. We show that its proton-neutron centroids are consistent with those from USDB. We then propose monopole modifications of the Daejeon16 centroids in order to provide an adjusted interaction yielding significantly improved agreement with the experiment. A spin-tensor decomposition of two-body effective interactions is applied in order to extract more information on the structure of the centroids and to understand the reason for deficiencies arising from our current theoretical approximations. The concern of the possible role of the three-nucleon forces is addressed.

Authors:
 [1];  [2];  [3]; ORCiD logo [3]; ORCiD logo [4];  [5];  [6]; ORCiD logo [6]
  1. Univ. of Bordeaux (France)
  2. Univ. of Arizona, Tucson, AZ (United States)
  3. Inst. of Basic Science, Daejeon (Korea, Republic of). Rare Isotope Science Project
  4. Iowa State Univ., Ames, IA (United States); Lomonosov Moscow State Univ., Moscow (Russian Federation); Pacific National Univ., Khabarovsk (Russian Federation)
  5. Suleyman Demirel Univ., Isparta (Turkey)
  6. Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Iowa State Univ., Ames, IA (United States); Univ. of Tennessee, Knoxville, TN (United States); Univ. of North Carolina, Chapel Hill, NC (United States); Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); National Research Foundation of Korea (NRF); Higher Education Council of Turkey (YOK); The Scientific and Technological Research Council of Turkey (TUBITAK-BIDEB); Russian Science Foundation
OSTI Identifier:
1603459
Grant/Contract Number:  
FG02-87ER40371; SC0018223; SC0015376; 2013M7A1A1075764; AC02-05CH11231; 16-12-10048
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 100; 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; effective interactions; renormalization; shell model; valence particles; NCSM; Daejeon16; monopole corrections; oxygen isotopes

Citation Formats

Smirnova, N. A., Barrett, B. R., Kim, Y., Shin, I. J., Shirokov, A. M., Dikmen, E., Maris, P., and Vary, J. P. Effective interactions in the sd shell. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevC.100.054329.
Smirnova, N. A., Barrett, B. R., Kim, Y., Shin, I. J., Shirokov, A. M., Dikmen, E., Maris, P., & Vary, J. P. Effective interactions in the sd shell. United States. https://doi.org/10.1103/PhysRevC.100.054329
Smirnova, N. A., Barrett, B. R., Kim, Y., Shin, I. J., Shirokov, A. M., Dikmen, E., Maris, P., and Vary, J. P. Tue . "Effective interactions in the sd shell". United States. https://doi.org/10.1103/PhysRevC.100.054329. https://www.osti.gov/servlets/purl/1603459.
@article{osti_1603459,
title = {Effective interactions in the sd shell},
author = {Smirnova, N. A. and Barrett, B. R. and Kim, Y. and Shin, I. J. and Shirokov, A. M. and Dikmen, E. and Maris, P. and Vary, J. P.},
abstractNote = {We perform here a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and the Okubo-Lee-Suzuki transformation. We investigate the monopole properties of those interactions in comparison with the phenomenological universal sd-shell interaction, USDB. Theoretical binding energies and low-energy spectra of O isotopes and of selected sd-shell nuclei, are presented. We conclude that there is a noticeable improvement in the quality of the effective interaction when it is derived from the Daejeon16 potential. We show that its proton-neutron centroids are consistent with those from USDB. We then propose monopole modifications of the Daejeon16 centroids in order to provide an adjusted interaction yielding significantly improved agreement with the experiment. A spin-tensor decomposition of two-body effective interactions is applied in order to extract more information on the structure of the centroids and to understand the reason for deficiencies arising from our current theoretical approximations. The concern of the possible role of the three-nucleon forces is addressed.},
doi = {10.1103/PhysRevC.100.054329},
journal = {Physical Review C},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}

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