Effect of Core Deformation on 17B Halo Nucleus∗

Abstract

This study aimed to investigate the two-neutron halo nucleus of 17B using the cluster model. The interaction between the two neutrons and deformed core 15B was treated as a rigid rotor with a deformed Woods–Saxon potential and a spin–orbit interaction. The three-body description of the 17B nucleus was carried out using the Jacobi coordinates method. The three-body system of 17B was described with the hyperspherical harmonic method. The three-body energy-dependent on the deformation of the core was also studied. The binding energy, matter radius of 17B, and deformation of 15B were calculated by normalization and by using experimental data. Comparison of the results with experimental data demonstrated the deformation of the core, especially of the prolate shapes.