skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [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
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); Swedish Foundation for International Cooperation in Research and Higher Education; European Research Council (ERC)
Contributing Org.:
Univ. of Tennessee, Knoxville, TN (United States); Chalmers Univ. of Technology, Goteborg (Sweden)
OSTI Identifier:
1324134
Alternate Identifier(s):
OSTI ID: 1183789
Grant/Contract Number:  
AC05-00OR22725; FG02-96ER40963; SC0008499; STINT, IG2012-5158; 240603; DEFG02-96ER40963
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Wendt, K. A., Forssén, C., Papenbrock, T., and Sääf, D. Infrared length scale and extrapolations for the no-core shell model. United States: N. p., 2015. Web. doi:10.1103/PhysRevC.91.061301.
Wendt, K. A., Forssén, C., Papenbrock, T., & Sääf, D. Infrared length scale and extrapolations for the no-core shell model. United States. doi:10.1103/PhysRevC.91.061301.
Wendt, K. A., Forssén, C., Papenbrock, T., and Sääf, D. Wed . "Infrared length scale and extrapolations for the no-core shell model". United States. doi:10.1103/PhysRevC.91.061301. https://www.osti.gov/servlets/purl/1324134.
@article{osti_1324134,
title = {Infrared length scale and extrapolations for the no-core shell model},
author = {Wendt, K. A. and Forssén, C. and Papenbrock, T. and Sääf, D.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.91.061301},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 91,
place = {United States},
year = {2015},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

No-core shell model in an effective-field-theory framework
journal, September 2007


Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
journal, September 2010


Evolving nuclear many-body forces with the similarity renormalization group
journal, March 2011


Ultraviolet extrapolations in finite oscillator bases
journal, December 2014


Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012


Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012


Systematic expansion for infrared oscillator basis extrapolations
journal, April 2014


Universal properties of infrared oscillator basis extrapolations
journal, April 2013


Ab initio Gorkov-Green's function calculations of open-shell nuclei
journal, January 2013


Structure of p -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
journal, May 2013


Microscopic description of translationally invariant core + N + N overlap functions
journal, January 2014


Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations
journal, August 2014


Infrared extrapolations for atomic nuclei
journal, February 2015

  • Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034032

Self-consistent Green's function method for nuclei and nuclear matter
journal, April 2004


Coupled-cluster approach to nuclear physics
journal, May 2004


Medium-Mass Nuclei from Chiral Nucleon-Nucleon Interactions
journal, August 2008


In-Medium Similarity Renormalization Group For Nuclei
journal, June 2011


Coupled-cluster computations of atomic nuclei
journal, September 2014


In-medium similarity renormalization group with chiral two- plus three-nucleon interactions
journal, March 2013


Ab initio path to heavy nuclei
journal, September 2014


Recent developments in no-core shell-model calculations
journal, May 2009

  • Navrátil, Petr; Quaglioni, Sofia; Stetcu, Ionel
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 8
  • DOI: 10.1088/0954-3899/36/8/083101

Ab initio no core shell model
journal, March 2013

  • Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
  • Progress in Particle and Nuclear Physics, Vol. 69
  • DOI: 10.1016/j.ppnp.2012.10.003

Large-basis ab initio no-core shell model and its application to 12 C
journal, October 2000


Large basis ab initio shell model investigation of Be 9 and Be 11
journal, April 2005


Ab Initio Many-Body Calculations of n H 3 , n He 4 , p He 3 , 4 , and n Be 10 Scattering
journal, August 2008


Ab Initio Study of Ca 40 with an Importance-Truncated No-Core Shell Model
journal, August 2007


Ab initio symplectic no-core shell model
journal, September 2008

  • Dytrych, T.; Sviratcheva, K. D.; Draayer, J. P.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 12
  • DOI: 10.1088/0954-3899/35/12/123101

Ab initio no-core full configuration calculations of light nuclei
journal, January 2009


Factorization in large-scale many-body calculations
journal, December 2013

  • Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G.
  • Computer Physics Communications, Vol. 184, Issue 12
  • DOI: 10.1016/j.cpc.2013.07.022

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986

  • Lüscher, M.
  • Communications in Mathematical Physics, Vol. 104, Issue 2
  • DOI: 10.1007/BF01211589

Volume Dependence of Bound States with Angular Momentum
journal, September 2011


Non-relativistic bound states in a finite volume
journal, June 2012


Effective field theory for bound state reflection
journal, April 2013


Two-nucleon systems in a finite volume: Quantization conditions
journal, August 2013


Two-nucleon systems in a finite volume. II. S 1 3 D 1 3 coupled channels and the deuteron
journal, December 2013


Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups
journal, May 1997


Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order
journal, May 2013


    Works referencing / citing this record:

    Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
    journal, June 2019