TY - JOUR

T1 - Large-basis ab initio no-core shell model and its application to [Formula Presented]

AU - Navrátil, P.

AU - Vary, J. P.

AU - Barrett, B. R.

PY - 2000

Y1 - 2000

N2 - We present the framework for the ab initio no-core nuclear shell model and apply it to obtain properties of [Formula Presented] We derive two-body effective interactions microscopically for specific model spaces from the realistic CD-Bonn and the Argonne V8’ nucleon-nucleon [Formula Presented] potentials. We then evaluate binding energies, excitation spectra, radii, and electromagnetic transitions in the [Formula Presented] and [Formula Presented] model spaces for the positive-parity states and the [Formula Presented] and [Formula Presented] model spaces for the negative-parity states. Dependence on the model-space size, on the harmonic-oscillator frequency, and on the type of the [Formula Presented] 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 [Formula Presented] We derive two-body effective interactions microscopically for specific model spaces from the realistic CD-Bonn and the Argonne V8’ nucleon-nucleon [Formula Presented] potentials. We then evaluate binding energies, excitation spectra, radii, and electromagnetic transitions in the [Formula Presented] and [Formula Presented] model spaces for the positive-parity states and the [Formula Presented] and [Formula Presented] model spaces for the negative-parity states. Dependence on the model-space size, on the harmonic-oscillator frequency, and on the type of the [Formula Presented] 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.

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U2 - 10.1103/PhysRevC.62.054311

DO - 10.1103/PhysRevC.62.054311

M3 - Article

AN - SCOPUS:84873383246

SN - 0556-2813

VL - 62

SP - 14

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 5

ER -