Large–scale shell model calculations for 140Xe

Sevdalina Dimitrova,Nicola Lo Iudice

doi:10.1051/epjconf/201819401004

Abstract

This paper presents the results of a large-scale shell model calculations of the yrast spectrum of 140Xe. We extend the previous calculations confined to low-lying angular momenta to high-spin states apply- ing the same importance sampling iterative matrix diagonalization algorithm. Excitation energies and transi- tion probabilities are obtained by using an effective nucleon-nucleon interaction derived from the CD-Bonn nucleon-nucleon potential. A satisfactory agreement with the experimental data and the previous results for low lying states is achieved.

Highlights

The interplay of nuclear collectivity and shell effects is an interesting phenomenon, which is intensively studied both theoretically and experimentally
Spectroscopic measurements on several chains of nuclei including Te, Xe, Ba, and Ce isotopes [1] have been supported by theoretical investigations carried out within the quasiparticle-phonon model (QPM), large–scale shell model [3,4,5,6,7], and in the nucleon pair approximation [8]
The algorithm we use for the present large-scale shell model calculations is described in [9, 11]

Summary

Introduction

The interplay of nuclear collectivity and shell effects is an interesting phenomenon, which is intensively studied both theoretically and experimentally. Spectroscopic measurements on several chains of nuclei including Te, Xe, Ba, and Ce isotopes [1] have been supported by theoretical investigations carried out within the quasiparticle-phonon model (QPM) (see [2] for references), large–scale shell model [3,4,5,6,7], and in the nucleon pair approximation [8]. All theoretical studies were focused mainly on the quadrupole collectivity of the lowest isoscalar and mixed symmetry 2+ states and treated only low-lying levels of low spin. We intend to explore the possibility of extending the description of the spectroscopic properties of the nuclei in this region by computing the levels of higher spins. After a brief description of the algorithm we analyze the results by relating them to the available experimental data

The algorithm

Shell model calculations

Results

Conclusions