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Title: Ab Initio Large-Basis No-Core Shell Model

Abstract

We discuss the motivation, theory, and formulation of the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) and theoretical three-nucleon (NNN)potentials, as a function of the finite harmonic-oscillator (HO) basis space. We present converged results for the A = 3 and 4 nucleon systems, which are in agreement with results obtained by other exact methods, followed by results for p-shell nuclei. Binding energies, rms radii, excitation spectra, and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN and NNN interactions rather than a phenomenological fit.

Authors:
; ;  [1]; ;  [2];  [3];  [4]
  1. Department of Physics, PO Box 210081, University of Arizona, Tucson, AZ 85721 (United States)
  2. University of California, Lawrence Livermore National Laboratory, Livermore, CA 94551 (United States)
  3. Institute for Nuclear Theory, University of Washington, Box 351550, Seattle, WA 98195 (United States)
  4. Department of Physics and Astronomy, Iowa State University, Ames, IA 50011 (United States)
Publication Date:
OSTI Identifier:
20722411
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 769; Journal Issue: 1; Conference: International conference on nuclear data for science and technology, Santa Fe, NM (United States), 26 Sep - 1 Oct 2004; Other Information: DOI: 10.1063/1.1945236; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ABSORPTION SPECTRA; BINDING ENERGY; COMPARATIVE EVALUATIONS; EXCITATION; HAMILTONIANS; HARMONIC OSCILLATORS; NUCLEAR ELECTRIC MOMENTS; NUCLEI; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; SHELL MODELS; THREE-BODY PROBLEM; TWO-BODY PROBLEM

Citation Formats

Barrett, Bruce R, Stetcu, Ionel, Hu, Zhan, Navratil, Petr, Ormand, W Erich, Nogga, Andreas, and Vary, James P. Ab Initio Large-Basis No-Core Shell Model. United States: N. p., 2005. Web. doi:10.1063/1.1945236.
Barrett, Bruce R, Stetcu, Ionel, Hu, Zhan, Navratil, Petr, Ormand, W Erich, Nogga, Andreas, & Vary, James P. Ab Initio Large-Basis No-Core Shell Model. United States. doi:10.1063/1.1945236.
Barrett, Bruce R, Stetcu, Ionel, Hu, Zhan, Navratil, Petr, Ormand, W Erich, Nogga, Andreas, and Vary, James P. Tue . "Ab Initio Large-Basis No-Core Shell Model". United States. doi:10.1063/1.1945236.
@article{osti_20722411,
title = {Ab Initio Large-Basis No-Core Shell Model},
author = {Barrett, Bruce R and Stetcu, Ionel and Hu, Zhan and Navratil, Petr and Ormand, W Erich and Nogga, Andreas and Vary, James P},
abstractNote = {We discuss the motivation, theory, and formulation of the ab initio No-Core Shell Model (NCSM). In this method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) and theoretical three-nucleon (NNN)potentials, as a function of the finite harmonic-oscillator (HO) basis space. We present converged results for the A = 3 and 4 nucleon systems, which are in agreement with results obtained by other exact methods, followed by results for p-shell nuclei. Binding energies, rms radii, excitation spectra, and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN and NNN interactions rather than a phenomenological fit.},
doi = {10.1063/1.1945236},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 769,
place = {United States},
year = {2005},
month = {5}
}