Core Deformation in the Two-Neutron Halo Nucleus, 11Li by Using Faddeev Equation

The properties of the two-neutron halo nucleus 11Li are investigated. The calculations are performed using the Faddeev equation with core excitation and Woods-Saxon potential. The core has been deformed and allowed to be excited to first 2+ state. This model enables to include the excitation of core of the three bodies, while the other two particles remain inert. Also, it is particularly suitable for obtaining the bound states structure compositions and binding energies of light exotic nuclei considered as three-body systems, which given the three effective of two body interactions. Results were compared with experimental data and three-body model. The handling of 11Li with an excited core in a microscopic cluster model was more accurate than that with an inert core in the three-body model. The dependence of three-body system energy on the quadruple of the core was investigated, and the core has an oblate shape.