Effects of Halo-nuclear core size on ground-state properties of Halo Nuclei

Abstract

The physics of loosely-bound and halo nuclei is very important in the enhancement of knowledge about the complete nature of strong interactions in general, and nuclear forces in particular. Although such nuclei are widely studied, very little has been said about the e ect of the size of the core on the properties of the nucleus. This dissertation investigates if there is correlation between the ground-state energies as well as the root-mean-square radii of the 20C, 21C and 22C halo nuclei. We treat the systems as three-body quantum systems consisting of a core and two valence neutrons and use phenomenological potentials to describe neutron-neutron and core-neutron interactions. We adopted parameters of the potentials that were shown in the literature to correctly describe basic properties of halo nuclei in general. The Faddeev equations for the systems are solved using the hyperspherical harmonics approach. The results suggest that there maybe a direct proportion relationship between the halo nuclear core size and the ground-state energy as well as the root-mean-square radius of the nucleus.