Influence of Tensor Interaction on Evolution of Nuclear Shells

Rupayan Bhattacharya

doi:10.4236/jmp.2013.45b007

Abstract

Using Skyrme’s density dependent interaction the evolution of nuclear shells has been studied in Hartree-Fock formalism. Optimization of the strength of tensor interaction has been done in reproducing the observed splitting of shell model states of 40,48Ca, 56Ni and 208Pb. Spin-orbit splitting in Ca-isotopes, 56Ni, 90Zr, N = 82 isotones, Sn-isotopes and evolution of gaps in Z, N=8, 20 have been reanalyzed with the inclusion of tensor interaction. For doubly shell closed nuclei it has been observed that tensor interaction is sensitive to spin saturation of nuclear shells.

Highlights

The important role of the tensor component of the nucleon-nucleon interaction information of shells beyond the conventional ones was pointed out in the seventies [1,2,3,4,5,6]
For doubly shell closed nuclei, it has been observed that tensor interaction is sensitive to spin saturation of nuclear shells
In order to study the evolution of shells with the inclusion of tensor force in Skyrme-Hartree-Fock theory we have studied the spin-orbit splitting of some shell model states of doubly shell closed nuclei, shell gap evolutions of Z, N = 8, 20 nuclei, difference in single particle(-hole) energy levels near the Fermi surfaces of Z = 50 isotopes, Ca - isotopes and N = 82 isotones

Summary

Introduction

The important role of the tensor component of the nucleon-nucleon interaction information of shells beyond the conventional ones was pointed out in the seventies [1,2,3,4,5,6]. Study of shell evolution and modification of magic numbers in exotic nuclei after inclusion of the tensor component of the nucleon-nucleon interaction in the selfconsistent mean field calculations generated lot of interest in the nuclear structure study circle. In order to study the evolution of shells with the inclusion of tensor force in Skyrme-Hartree-Fock theory we have studied the spin-orbit splitting of some shell model states of doubly shell closed nuclei, shell gap evolutions of Z, N = 8, 20 nuclei, difference in single particle(-hole) energy levels near the Fermi surfaces of Z = 50 isotopes, Ca - isotopes and N = 82 isotones

Theoretical Formulation

Results

Conclusions