Abstract
In this paper, Ruthenium Isotopes with neutron N = 60, 62 have been studied the ground state bands using Matlab computer code interacting boson model (IBM-1). We apply IBM-1 formula for O(6) symmetry in Ru isotopes with neutron N = 60, 62. The theoretical energy levels up to spin-parity 12+ have been obtained for 104,106Ru isotopes. The yrast states, gamma band, beta band, and B(E2) values are calculated for those nuclei. The experimental and calculated R4/2 values indicate that the even-even 104-106Ru isotopes have O(6) dynamic symmetry. The calculated results are compared to the experimental data and are found in good harmony with each other. The plots of the potential energy surface of both nuclei are O(6) characters.
Highlights
Ruthenium isotope has been a focus of the nuclear structure of many theoretical and experimental investigations
Ruthenium Isotopes with neutron N = 60, 62 have been studied the ground state bands using Matlab computer code interacting boson model (IBM-1)
The obtained results have discussed for yrast energy level, γ-band, β-band, effective charge used to reproduce B(E2) values, transition probabilities B(E2), maxing ratio and contour plots of the potential energy surfaces using interacting boson model-1 (IBM-1)
Summary
Ruthenium isotope has been a focus of the nuclear structure of many theoretical and experimental investigations. The low-lying even nuclei had been successfully explained nuclear collective characters using the interacting boson model-1 (IBM-1) [1]. In the first beginning the collective states can be described by a system of identical bosons NB. These are S-boson L = 0 and d-boson L = 2. There is no discrepancy between neutron and proton in IBM-1. There are three dynamical symmetries indicated by U(5), SU(3) and O(6) analogous to spherical vibrator, deformed rotor, and γ-soft respectively.
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