Large-scale shell-model study of the Sn isotopes

Eivind Osnes,Morten Hjorth-Jensen,Torgeir Engeland,L Bravina,S Kabana,Y Foka

doi:10.1051/epjconf/20149501010

Abstract

We summarize the results of an extensive study of the structure of the Sn isotopes using a large shell-model space and effective interactions evaluated from realistic two-nucleon potentials. For a fuller account, see ref. [1].

Highlights

In the Sn region the number of single-particle degrees of freedom is so high that ab initio approaches are prohibited
Still, using 100Sn as closed-shell core and allowing the valence neutrons to occupy the 2s1d shell plus the intruder orbits 0g7/2 from below and 0h11/2 from above, one need cope with very high dimensionality
On the one hand, adequate computer power is available for handling shell-model calculations in the mid-shell Sn isotopes, and on the other hand, the unstable isotopes near the closed shells are accessible to experimental study

Summary

Introduction

In the Sn region the number of single-particle degrees of freedom is so high that ab initio approaches are prohibited. Our aim is to use effective interactions calculated from realistic two-nucleon forces (i.e., reproducing the deuteron binding energy and two-nucleon scattering phase shifts) using many-body perturbation theory.

Objectives

Results

Conclusion