Comparative study of properties of stable (⁴He) and weakly bound (⁶He,⁸He) Helium isotopes using Skyrme pairing force- SKP and modified SKM* functionals

In last few decades, the ground state properties of nuclei have been studied within the self consistent mean-field approximation. Such a description of the atomic nucleus has ability to properly account for the bulk properties of nuclei such as masses, energies, radii or shape. The Hartree-Fock method provides a good approximation of closed shell magic nuclei, however, the pairing correlations constitute an essential ingredient for the description of open shell nuclei. These effects are usually described by the Hartree-Fock plus BCS (HFBCS) or Hartree-Fock-Bogolyubov (HFB) methods. The HFB problem in coordinate basis, along with the use of the effective Skyrme force is indeed a powerful tool for studying ground-state properties of nuclei