Lightest and heaviest two-neutron halo nuclei, $^{6}$He and $^{22}$C

Abstract

The microscopic cluster model approach has been performed to study the nuclear structure of the lightest and heaviest two-neutron halo nuclei, $^{6}$He and $^{22}$C, respectively. The matter radius and binding energy for the $^{6}$He and $^{22}$C nuclei are calculated and the effect of the core deformation ($^{20}$C) on the properties of $^{22}$C nuclei is also discussed. Calculations have shown that the microscopic cluster model provides a good description of binding energy as well as matter radius in comparison to experimental data. The fittings of some parameters such as central potential depth (V$_{o})$, empirical constant (r$_{o})$, and surface diffuseness value (a) are discussed to find agreement in the results with the available experimental data. The exotic properties of two-neutron halo nuclides $^{6}$He and $^{22}$C such as weak binding energy, abnormal large matter radius, and Borromean system have been confirmed in the present work.