Neutrons in the classically forbidden region in neutron-rich nucleus ⁶⁸Ca *

Abstract

Neutrons tunneling to the classically forbidden (CF) region in the neutron-rich nucleus are investigated in the Skyrme Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) models. The definition of the CF region is examined in the HF model by using different single-particle potentials for the bound states. In the HFB model, the weakly bound and continuum states could also contribute to the neutrons in the CF region due to the pairing correlation. Their asymptotic wave functions are carefully calculated by the Green’s function method.