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:
-
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
- 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
- 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. https://doi.org/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. https://doi.org/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}
}
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