Large-basis no-core shell model

Bruce R Barrett, P. Navratil, J. P. Vary

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

Original languageEnglish (US)
JournalNuclear Physics, Section A
Volume704
Issue number1-4
StatePublished - Jun 17 2002

Fingerprint

nucleon potential
harmonic oscillators
nucleon-nucleon interactions
electromagnetic properties
excitation
binding energy
formulations
radii

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Barrett, B. R., Navratil, P., & Vary, J. P. (2002). Large-basis no-core shell model. Nuclear Physics, Section A, 704(1-4).

Large-basis no-core shell model. / Barrett, Bruce R; Navratil, P.; Vary, J. P.

In: Nuclear Physics, Section A, Vol. 704, No. 1-4, 17.06.2002.

Research output: Contribution to journalArticle

Barrett, BR, Navratil, P & Vary, JP 2002, 'Large-basis no-core shell model', Nuclear Physics, Section A, vol. 704, no. 1-4.
Barrett BR, Navratil P, Vary JP. Large-basis no-core shell model. Nuclear Physics, Section A. 2002 Jun 17;704(1-4).
Barrett, Bruce R ; Navratil, P. ; Vary, J. P. / Large-basis no-core shell model. In: Nuclear Physics, Section A. 2002 ; Vol. 704, No. 1-4.
@article{95813851ba8f4763807e91177c37a915,
title = "Large-basis no-core shell model",
abstract = "We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.",
author = "Barrett, {Bruce R} and P. Navratil and Vary, {J. P.}",
year = "2002",
month = "6",
day = "17",
language = "English (US)",
volume = "704",
journal = "Nuclear Physics A",
issn = "0375-9474",
publisher = "Elsevier",
number = "1-4",

}

TY - JOUR

T1 - Large-basis no-core shell model

AU - Barrett, Bruce R

AU - Navratil, P.

AU - Vary, J. P.

PY - 2002/6/17

Y1 - 2002/6/17

N2 - We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

AB - We discuss both the translationally invariant and the standard formulation of the nocore shell-model approach. In this ab initio method the effective Hamiltonians are derived microscopically from realistic nucleon-nucleon (NN) potentials as a function of the finite harmonic-oscillator (HO) basis space. We present results for three and four nucleon systems interacting by the CD-Bonn or several other NN potentials in model spaces that include up to 50ℏΩ and 18ℏΩ HO excitations, respectively. Our results for these light systems are in agreement with results obtained by other exact methods. Also, we calculate properties of 12C using the CD-Bonn and the Argonne V8' NN potentials for model spaces up to 5ℏΩ. Binding energies, rms radii, excitation spectra and electromagnetic properties are discussed. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

UR - http://www.scopus.com/inward/record.url?scp=0037125076&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037125076&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037125076

VL - 704

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-4

ER -