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Title: Infrared length scale and extrapolations for the no-core shell model

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [1];  [3]
  1. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  2. Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  3. Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics

In this paper, we precisely determine the infrared (IR) length scale of the no-core shell model (NCSM). In the NCSM, the A-body Hilbert space is truncated by the total energy, and the IR length can be determined by equating the intrinsic kinetic energy of A nucleons in the NCSM space to that of A nucleons in a 3(A-1)-dimensional hyper-radial well with a Dirichlet boundary condition for the hyper radius. We demonstrate that this procedure indeed yields a very precise IR length by performing large-scale NCSM calculations for 6Li. We apply our result and perform accurate IR extrapolations for bound states of 4He, 6He, 6Li, and 7Li. Finally, we also attempt to extrapolate NCSM results for 10B and 16O with bare interactions from chiral effective field theory over tens of MeV.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Swedish Foundation for International Cooperation in Research and Higher Education; European Research Council (ERC)
Contributing Organization:
Univ. of Tennessee, Knoxville, TN (United States); Chalmers Univ. of Technology, Goteborg (Sweden)
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963; SC0008499; STINT, IG2012-5158; 240603; DEFG02-96ER40963
OSTI ID:
1324134
Alternate ID(s):
OSTI ID: 1183789
Journal Information:
Physical Review C, Nuclear Physics, Vol. 91, Issue 6; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 53 works
Citation information provided by
Web of Science

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Cited By (13)

From effective field theories to effective density functionals in and beyond the mean field journal May 2016
Emergent properties of nuclei from ab initio coupled-cluster calculations journal May 2016
In-medium similarity renormalization group for closed and open-shell nuclei journal December 2016
Monte Carlo shell model studies with massively parallel supercomputers journal April 2017
Deep learning: Extrapolation tool for ab initio nuclear theory journal May 2019
Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques journal June 2019
Emergent properties of nuclei from ab initio coupled-cluster calculations text January 2016
In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei text January 2016
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces text January 2018
Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor text January 2018
Deep learning: Extrapolation tool for ab initio nuclear theory text January 2018
Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques text January 2019

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