Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model

Abstract

We obtain properties of ${}^{12}$C in the {\it ab initio} no-core nuclear shell-model. The effective Hamiltonians are derived microscopically from the realistic CD-Bonn and the Argonne V8' nucleon-nucleon (NN) potentials as a function of the finite harmonic oscillator basis space. Binding energies, excitation spectra and electromagnetic properties are presented for model spaces up to $5\hslash \Omega$. The favorable comparison with available data is a consequence of the underlying NN interaction rather than a phenomenological fit.

9 pages, 2 figures

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