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Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei

Journal Article · · Physical Review. C
 [1];  [2];  [1];  [3];  [4]
  1. Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
  2. University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  3. Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)
  4. Johannes Gutenberg Univ., Mainz (Germany)
+ Show Author Affiliations
Here, we study ground-state energies and charge radii of closed-shell medium-mass nuclei based on novel chiral nucleon-nucleon (NN) and three-nucleon (3⁢𝑁) interactions, with a focus on exploring the connections between finite nuclei and nuclear matter. To this end, we perform in-medium similarity renormalization group (IM-SRG) calculations based on chiral interactions at next-to-leading order (NLO), N2⁢LO, and N3⁢LO, where the 3⁢𝑁 interactions at N2⁢LO and N3⁢LO are fit to the empirical saturation point of nuclear matter and to the triton binding energy. Our results for energies and radii at N2⁢LO and N3⁢LO overlap within uncertainties, and the cutoff variation of the interactions is within the EFT uncertainty band. We find underbound ground-state energies, as expected from the comparison to the empirical saturation point. The radii are systematically too large, but the agreement with experiment is better. We further explore variations of the 3⁢𝑁 couplings to test their sensitivity in nuclei. While nuclear matter at saturation density is quite sensitive to the 3⁢𝑁 couplings, we find a considerably weaker dependence in medium-mass nuclei. In addition, we explore a consistent momentum-space SRG evolution of these NN and 3⁢𝑁 interactions, exhibiting improved many-body convergence. For the SRG-evolved interactions, the sensitivity to the 3⁢𝑁 couplings is found to be stronger in medium-mass nuclei.
Research Organization:
University of California, Berkeley, CA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-05CH11231; SC0004658
OSTI ID:
2917801
Alternate ID(s):
OSTI ID: 1556825
Journal Information:
Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 100; ISSN 2469-9985; ISSN 2469-9993
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

ab initio calculations
nuclear forces
nuclear matter
nuclear structure & decays
nucleon-nucleon interactions