Theoretical Study of Isospin Mixing States with T&gt; 0 in sd Even-Even N=Z Nuclei Using Shell Model

Anwer A Al-Sammarraie , Et Al

doi:10.17762/turcomat.v12i2.2081

Abstract

Nuclear excited states with T > 0 in sd even-even N=Z nuclei have been studied by using shell model. The calculations have employed the USDB Hamiltonian in order to predict the energy levels, the reduced electric quadrupole transition probabilities and reduced magnetic dipole transition probabilities. The study also include the average number of nucleons in each sd- active orbitals. The results compared with available experimental data. The comparison showed a good agreement between theoretical and experimental energy sates for most of the states studied in this work. On the other hand there was a difference between theoretical and experimental values of transition probabilities, but it can be said that it remained within the acceptable range of the difference.

Highlights

Heisenberg was the first proposed the concept of isospin in 1932[1]
The charge dependent short range potential and electromagnetic interactions leads to break the isospin symmetry in nuclei, the isovector Coulomb interaction represents the most important part which mixes states separated by ∆T =1.The isospin mixing has an important connection with two nuclear phenomena, the spreading width of isobaric analog states and he superallowed Fermi β-decay [3]
A projection technique, and wave functions with good angular momentum J and isospin T, and this is the reason for choosing OXBASH code, since some other codes do not depend on T

Summary

Introduction

Heisenberg was the first proposed the concept of isospin in 1932[1]. He introduced this quantum number in order to describe the charge independence of the nuclear force[2]. Protonneutron pairing is expected play an important role in the fundamental issue of nuclear structure. This pairing can contribute with additional binding energy which would be essential to their stability and the consequences of that about its location to the drip line

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Conclusion