Nuclei Shapes across Different Magic Numbers in the Ytterbium (Z = 70) and Lead (Z = 82) Isotopes using MATLAB Code.

F Eriba-Idoko,E C Hemba,F Gbaorun,T Daniel

doi:10.46912/napas.111

Abstract

The yrast state of the Ytterbium, Yb isotopes for the neutron range of 82 ≤ N≤ 180 and lead, Pb isotopes for the neutron range of 98 ≤ N≤132 for the even-even nuclei have been studied using the energies of the first excited state in these nuclei. The nuclear deformation parameters, and the reduced quadruple transition probability B (E2)↑ with other intrinsic parameters associated with the nuclei shape were obtained using a MATLAB code. The results revealed that the Pb nucleus with Z = 82 - which is one of the magic numbers have a more ‘spherically’ nuclei shape at the ground state with small degree of deformation as compared to the nuclei shapes in the Yb isotopes. Our study supports the global predictions of the prolate deformation in Yb isotopes around the neutron range of 90 ≤ N ≤ 112.

Highlights

Increase in excitation energies and or the angular momenta can bring about a change in the nuclear shape of a nucleus (Casten, 2000; Casten et al, 2009)
The yrast state of theYtterbium, Yb isotopes for the neutron range of 82 ≤ N ≤ 108and Lead, Pbisotopes for the neutron range of 98 ≤ N ≤ 132for the even-even nuclei have been studied using the energies of the first excited state in these nuclei
The nuclear deformation parameters, β2 and the reduced quadruple transition probability B(E2) ↑ with other intrinsic parameters associated with the nuclei shape were obtained using a MATLAB code.The results revealed that the Pb nucleus with Z = 82 - which is one of the magic numbers have a more ‘spherically’ nuclei shape at the ground state with small degree of deformation as compared to the nuclei shapes in the Ybisotopes

Summary

Introduction

Increase in excitation energies and or the angular momenta can bring about a change in the nuclear shape of a nucleus (Casten, 2000; Casten et al, 2009). The deformation can be described by a multipole extension, such as the quadrupole and octupole deformation, with the quadrupole deformation being the most important deformation from spherical shape to oblate or prolate shape (Garcia-Ramos et al, 2013; Garcia-Ramos et al, 2014).

Methods

Results

Discussion

Conclusion