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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics