Electric reduced transition probabilities of \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars through the interacting boson model-I

In this study, we applied the Interacting Boson Model (IBM-I) to compute the electric reduced transition probabilities B(E2)\(↓\) of even-even neutron rich \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars. The ratio \(R4/2 = E(4₁⁺) / E(2₁⁺)\) has also been calculated for those isobars and the SU(3) symmetry for those isobars has been reported. \(E(4₁⁺)\) and \(E(2₁⁺)\) indicate the energy level of \(4₁⁺\) and \(2₁⁺\), respectively. We have described the strength of B(E2) in W.u. for \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars of some of the low-lying quadrupole collective states in contrast to obtainable measured data. The electric reduced transition probabilities B(E2)\(↓\) from yrast state gamma transition from \(12_1⁺ → 10_1⁺\), \(10_1⁺ → 8_1⁺\), \(8_1⁺ → 6_1⁺\), \(6_1⁺ → 4_1⁺\), \(4_1⁺ → 2_1⁺\) and \(2_1⁺ → 0_1⁺\) and other bands states and B(E2) ratio of \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars have been compared with obtainable measured data and other previous studies. Also calculated were the systematic strength of B(E2), intrinsic quadrupole moments, and deformation parameters of even-even \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars. The data from these calculations are in good matching with the obtainable measured data. The IBM-I model for the strength of B(E2) has been systematically deduced in SU(3) limit for a few yrasts states transitions in \(¹⁸⁶W\) and \(¹⁸⁶Os\) isobars.