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Attempt at describing triaxiality of Ru108,110,112 by the generalized triaxial rotor model with independent, variable moments of inertia

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The generalized triaxial rotor model with independent variable moments of inertia is applied to describe the transitional behavior of staggering patterns observed in the $\ensuremath{\gamma}$ bands of $^{108,110,112}\mathrm{Ru}$. An oscillating… Click to show full abstract

The generalized triaxial rotor model with independent variable moments of inertia is applied to describe the transitional behavior of staggering patterns observed in the $\ensuremath{\gamma}$ bands of $^{108,110,112}\mathrm{Ru}$. An oscillating behavior is introduced in the variations of the moments of inertia ${\mathcal{I}}_{1}$ and ${\mathcal{I}}_{2}$ to describe the $\ensuremath{\gamma}$-soft pattern in $^{108}\mathrm{Ru}$. Then the amplitude of the oscillating term is exponentially reduced as a function of spin in $^{110}\mathrm{Ru}$. The oscillating term is taken away completely in $^{112}\mathrm{Ru}$. A good agreement is obtained between the model calculation and the experimental data both in the phase and amplitude of the staggering pattern. Using the obtained eigenfunctions, effective $\ensuremath{\gamma}$ values are so determined to reproduce best the branching ratios of $\ensuremath{\gamma}$ decays from the $\ensuremath{\gamma}$ bands. The stable values of ${\ensuremath{\gamma}}_{\mathrm{eff}}\ensuremath{\approx}{20}^{\ensuremath{\circ}}$ are obtained for the lower-spin states in any of $^{108,110,112}\mathrm{Ru}$.

Keywords: moments inertia; generalized triaxial; ensuremath gamma; model; 110 112

Journal Title: Physical Review C
Year Published: 2019

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