Emergence of new magic numbers N = 16 and 34 through tensor interaction in Skyrme Hartree Fock theory

Abstract

Melting of N=20 shell and development of N = 16 and N = 34 shells for neutron-rich nuclei have been studied extensively through inclusion of tensor interaction in Skyrme Hartree Fock theory optimized to reproduce the splitting neutron 1f states of 40, 48Ca and 56Ni nuclei. Evolution of gap generated by the energy difference of single particle levels neutron 2s1/2 and neutron 1d3/2 state has been found to be responsible for the development of a shell closure at N = 16. The splitting pattern of spin-orbit partners 2p shell model state in Ca, Ti, Cr, Fe and Ni isotopes indicates formation of a new shell at N = 34 region.

20 pages, 7 figures

References in corpus (8)

• Three-body forces and the limit of oxygen isotopes
• Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• The N = 16 spherical shell closure in 24O
• Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Parameterization of the Woods-Saxon Potential for Shell-Model Calculations