### Abstract

We present the framework for the ab initio no-core nuclear shell model and apply it to obtain properties of ^{12}C. We derive two-body effective interactions microscopically for specific model spaces from the realistic CD-Bonn and the Argonne V8' nucleon-nucleon (NN) potentials. We then evaluate binding energies, excitation spectra, radii, and electromagnetic transitions in the 0ℏΩ, 2ℏΩ£l, and 4ℏΩ model spaces for the positive-parity states and the 1ℏΩ, 3ℏΩ, and 5ℏΩ model spaces for the negative-parity states. Dependence on the model-space size, on the harmonic-oscillator frequency, and on the type of the NN potential, used for the effective interaction derivation, are studied. In addition, electromagnetic and weak neutral elastic charge form factors are calculated in the impulse approximation. Sensitivity of the form-factor ratios to the strangeness one-body form-factor parameters and to the influence of isospin-symmetry violation is evaluated and discussed. Agreement between theory and experiment is favorable for many observables, while others require yet larger model spaces and/or three-body forces. The limitations of the present results are easily understood by virtue of the trends established and previous phenomenological results.

Original language | English (US) |
---|---|

Pages (from-to) | 543111-543114 |

Number of pages | 4 |

Journal | Physical Review C - Nuclear Physics |

Volume | 62 |

Issue number | 5 |

State | Published - Nov 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

^{12}C.

*Physical Review C - Nuclear Physics*,

*62*(5), 543111-543114.

**Large-basis ab initio no-core shell model and its application to ^{12}C.** / Navrátil, P.; Vary, J. P.; Barrett, Bruce R.

Research output: Contribution to journal › Article

^{12}C',

*Physical Review C - Nuclear Physics*, vol. 62, no. 5, pp. 543111-543114.

^{12}C. Physical Review C - Nuclear Physics. 2000 Nov;62(5):543111-543114.

}

TY - JOUR

T1 - Large-basis ab initio no-core shell model and its application to 12C

AU - Navrátil, P.

AU - Vary, J. P.

AU - Barrett, Bruce R

PY - 2000/11

Y1 - 2000/11

N2 - We present the framework for the ab initio no-core nuclear shell model and apply it to obtain properties of 12C. We derive two-body effective interactions microscopically for specific model spaces from the realistic CD-Bonn and the Argonne V8' nucleon-nucleon (NN) potentials. We then evaluate binding energies, excitation spectra, radii, and electromagnetic transitions in the 0ℏΩ, 2ℏΩ£l, and 4ℏΩ model spaces for the positive-parity states and the 1ℏΩ, 3ℏΩ, and 5ℏΩ model spaces for the negative-parity states. Dependence on the model-space size, on the harmonic-oscillator frequency, and on the type of the NN potential, used for the effective interaction derivation, are studied. In addition, electromagnetic and weak neutral elastic charge form factors are calculated in the impulse approximation. Sensitivity of the form-factor ratios to the strangeness one-body form-factor parameters and to the influence of isospin-symmetry violation is evaluated and discussed. Agreement between theory and experiment is favorable for many observables, while others require yet larger model spaces and/or three-body forces. The limitations of the present results are easily understood by virtue of the trends established and previous phenomenological results.

AB - We present the framework for the ab initio no-core nuclear shell model and apply it to obtain properties of 12C. We derive two-body effective interactions microscopically for specific model spaces from the realistic CD-Bonn and the Argonne V8' nucleon-nucleon (NN) potentials. We then evaluate binding energies, excitation spectra, radii, and electromagnetic transitions in the 0ℏΩ, 2ℏΩ£l, and 4ℏΩ model spaces for the positive-parity states and the 1ℏΩ, 3ℏΩ, and 5ℏΩ model spaces for the negative-parity states. Dependence on the model-space size, on the harmonic-oscillator frequency, and on the type of the NN potential, used for the effective interaction derivation, are studied. In addition, electromagnetic and weak neutral elastic charge form factors are calculated in the impulse approximation. Sensitivity of the form-factor ratios to the strangeness one-body form-factor parameters and to the influence of isospin-symmetry violation is evaluated and discussed. Agreement between theory and experiment is favorable for many observables, while others require yet larger model spaces and/or three-body forces. The limitations of the present results are easily understood by virtue of the trends established and previous phenomenological results.

UR - http://www.scopus.com/inward/record.url?scp=0040184212&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040184212&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040184212

VL - 62

SP - 543111

EP - 543114

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 5

ER -