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The microscopic cluster model approach has been performed to study the nuclear structure of the lightest and heaviest two-neutron halo nuclei, He and C, respectively. The matter radius and binding energy for the He and C nuclei are calculated and the effect of the core deformation (C) on the properties of 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 (Vo) , empirical constant (ro) , 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 He and C such as weak binding energy, abnormal large matter radius, and Borromean system have been confirmed in the present work.

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