Abstract
Shell model calculation is a key tool in investigating the nuclear structure. Traditional shell model calculations deal with the many-body correlations through the configurations interaction, in which one performs large-scale matrix diagonalization to study the excitation spectra for system in many basis states. The crucial starting point in shell model calculations is the derivative of effective interaction, which be either a microscopic approach based on realistic nuclear forces or a phenomenological determined interaction. Conventional shell model calculation always build the many-body wave functions in harmonic oscillator basis, which is always bound and localized. However, nuclei far from stability have strong coupling with the scattering states, low particle emission threshold and the wave functions have large spatial dimensions, which may lead the harmonic oscillator basis fail in describing the weakly bound nuclei.
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