Abstract
We discuss the no-core shell model approach, an ab initio method with effective Hamiltonians derived 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 in model spaces that include up to 50{Dirac_h}{Omega} and 18{bar h}{Omega} HO excitations, respectively. For these light systems we are in agreement with results obtained by other exact methods. Also, we calculate the properties of {sup 6}Li and {sup 6}He in model spaces up to 10{Dirac_h}{Omega}, and of {sup 12}C for model spaces up to 6{Dirac_h}{Omega}.
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