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, 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.

The two-neutron halo nucleus 11 Li has been investigated in this work. Jacobi coordinates is used to describe the three-body system, using two configurations that are the T-configuration and Y-configuration. The calculations have been calculated based on a cluster model. The 11 Li nucleus is considered as three-body system core (9 Li )+n+n. The core here has been considered as a deformed core. The calculations confirmed that the core has some deformation and has an oblate shape which in turn has effects on the structure of three-body system.

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The ([Formula: see text]Ne) nucleus is described as two protons outside of a deformed core. The Microscopic Cluster Model (MCM) is used to describe the three-body system [Formula: see text] with Jacobi coordinates. This model strongly exhibits the Coulomb effect and therefore it is used to explore the role of the Coulomb effect in proton halo formation. The main goal of this study is to confirm that [Formula: see text]Ne is a two-proton halo nucleus. In the calculations, the energy states (0[Formula: see text]), (1[Formula: see text]), (0[Formula: see text]) and (0[Formula: see text]) are considered to be occupied by two valence protons. Based on the comparison with other theoretical and experimental studies, the present MCM calculations show that the exotic structure of the valence protons is not evident in the halo structure of [Formula: see text]Ne.