Abstract
The even-even triaxial nuclei are described by amending the Bohr-Mottelson Hamiltonian with an energy potential consisting of two terms: a sextic oscillator with centrifugal barrier in the β variable and a periodic function in the γ variable. After the variable separation is performed, the β equation is quasi-exactly solved, while the γ equation is satisfied by the Mathieu function. The reduced E2 transition probabilities are determined using an anharmonic transition operator. The formalism is conventionally called the Sextic and Mathieu Approach (SMA). Numerical applications concerned seven non-axial nuclei: 188Os, 190Os, 192Os, 228Th, 230Th, 182W and 180Hf. SMA results are compared with the experimental data as well as with those yielded by the Coherent State Model (CSM).
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