Physical Mechanism of Neutron Halo on Drip Line Light Nuclei

In order to extend the conventional shell model calculation with harmonic oscillator bases to halo nuclei a self-similar-structure shell model (SSM) in which the single particle orbit has state(orbit)-dependent frequency was proposed. We do this by a rescaling of both the kinetic and potential energy term of the harmonic oscillator and a mean field imitation so that the physical mechanisms of both neutron skin and neutron halo as well as the bound state properties of Borromean nuclei such as ⁶He, ¹¹Li and ¹⁴Be can be revealed in SSM.