Triaxiality dynamics in quadrupole deformed heavy even–even nuclei

In the framework of free triaxiality model, branching ratio of reduced E2-transitions probabilities is studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations Formula: see text and Formula: see text are dynamic. The Davidson potential for Formula: see text and Formula: see text variables was used. In the free triaxiality model, the energy levels were obtained by taking into account the high-order terms of the rotational energy operator series, which lead energy levels of ground-state-band, Formula: see text- and Formula: see text-bands to improve considerably the agreement of the results with experimental data. The quadrupole moment of the nucleus expressed in terms of two internal quadrupole moments: Formula: see text is quadrupole moment about the symmetry axis, Formula: see text is the measure of the shape asymmetry about the symmetry axis. The intra/inter-band reduced E2-transition probabilities’ ground-state-band, Formula: see text- and Formula: see text-bands are presented and are expressed in terms of four parameters: Formula: see text, Formula: see text, Formula: see text and Formula: see text. The influence of Formula: see text-oscillations to the reduced probabilities of E2-transitions is taken into account numerically. The sensitivity of the intra-/inter-band reduced E2-transition probabilities to the triaxiality parameter was analyzed.