Abstract

In this study, we determined the most appropriate Hamiltonian that is needed for present calculations of nuclei in the A 130 region by interacting boson model. The second version of interacting boson model (IBM-2) has been widely used for describing the quadrupole collective states of the medium heavy nuclei. The proton and neutron variables are distinguished when this version of the model is applied. Because it is important to describe the proton and neutron variables explicitely. Using the best-fitted values of parameters in the Hamiltonian of the IBM-2, we have calculated energy levels and B(E2) values for 130,132Te. The results were compared with the previous experimental and theoretical data and it is observed that they are in good agreement. Some B(E2) values that are still not known so far are stated and the set of parameters used in these calculations is the best approximation that has been carried out so far. It has turned out that the interacting boson approximation (IBA) is fairly reliable for the calculation of spectra in the entire set of such Te isotopes.

Highlights

  • The even stable tellurium isotopes with only two protons outside the magic shell of 50 proton and a number of neutrons ranging from 78 to 80 could be expected to be nearly spherical and their level structure should be reasonably well explained by the vibrational model

  • The aim is to carry out B(E2) transition probabilities of such Te nuclei which are around the mass region A 130 by employing the most appropriate Hamiltonian of interacting boson model (IBM)-2 and to give a clear description about their structure in the dynamic symmetry limits. n Section 2, we give a review of the theoretical background of the study. n Section 3, the previous experimental and theoretical [27,28,29,30] data are compared with calculated values and the general features of Te (Z=52, N=78,80) isotopes are reviewed

  • The IBM-2 formalism is a general model specifying the parameters of the Hamiltonian and it is considered as the neutrons' and protons' degrees of freedom are taken into account explicitly

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Summary

INTRODUCTION

The even stable tellurium isotopes with only two protons outside the magic shell of 50 proton and a number of neutrons ranging from 78 to 80 could be expected to be nearly spherical and their level structure should be reasonably well explained by the vibrational model. B. Shu et al [2] stated that the even Te nuclei exhibit general collective nuclei properties and theoretical calculations on these nuclei have been based on the vibrational model, the quasiparticle model, and the interacting boson approximation model(IBA). Shu et al [2] stated that the even Te nuclei exhibit general collective nuclei properties and theoretical calculations on these nuclei have been based on the vibrational model, the quasiparticle model, and the interacting boson approximation model(IBA) The spectra of these nuclei have been investigated by - and -spectroscopic measurements and by neutron capture and inelastic scattering experiments [3]. N Section 3, the previous experimental and theoretical [27,28,29,30] data are compared with calculated values and the general features of Te (Z=52, N=78,80) isotopes are reviewed.

THEORY
CALCULATIONS AND RESULTS
CONCLUSION
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