Effects of the Tensor Force on the Ground Properties of Zr Isotopes

Abstract

The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near N=60 region. The effects are attributed to the fact that the tensor force enlarges the spin and pseudospin symmetry breaking and therefore results in a ∼2 MeV sub-shell gap between d3/2 and s1/2 single-particle levels.

Keywords

• Skyrme–Hartree–Fock approach
• tensor force
• Zr isotopes
• spin and pseudospin symmetry