Abstract
The sufficient aspects of model leading to the E(5) symmetry have been proved by presenting E(5) characteristic of the transitional nuclei 64-80Ge. The positive parity states of even-mass Ge nuclei within the framework of Interacting Boson Model have been calculated and compared with the Davidson potential predictions along with the experimental data. It can be said that the set of parameters used in an calculations is the best approximation that has been carried out so far. Hence, Interacting Boson Approximation (IBA) is fairly reliable for the calculation of spectra in such set of Ge isotopes.
Highlights
This paper presents a computational study in the field of nuclear structure
Three dynamical symmetry limits known as Harmonic oscillator, deformed rotor and asymmetric deformed rotor are labeled by U(5), SU(3) and O(6) respectively [6], and they form a triangle known as the Casten triangle representing the nuclear phase diagram [7]
It has been searched that the level scheme of the nuclei 64-80Ge shows the characteristic E(5) pattern or not in the ground state and some other low-lying bands by using two different approaches
Summary
This paper presents a computational study in the field of nuclear structure. The declared goal of the paper is to identify features of the E(5) dynamical symmetry in the critical point of the phase/shape transition for the even-even Ge isotopes with A in the range 64 to 80. The inclusion of these orbital will make the model space adequate in principle to describe nuclei with Z≤38 as well as to possibly account for the high spin states that have recently been established in the Zr isotopes. Another motivation for considering such a large model space is to allow from one to more accurate calculation of double-beta decay transitions in Kr, Se and Ge nuclei [10].
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