Triaxiality dynamics of quadrupole excitation in even-even heavy nuclei

In the framework free triaxiality model branching ratio reduced E2-transitions probabilities are studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations $\beta_2$ and $\gamma$ are dynamic. The Davidson potential for $\beta_2$ and $\gamma$ variables was being used. In the free triaxiality model the energy levels was being obtained by taking into account the high-order terms of the rotational energy operator series, which leads energy levels of ground-state-band, $\beta$- and $\gamma$-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: $Q_0$ is quadrupole moment about the symmetry axis, $Q_2$ is the measure of the shape asymmetry about the symmetry axis. The intra/inter-band reduced E2-transition probabilities ground-state-band, $\beta$- and $\gamma$-bands are being presented and are being expressed in terms of four parameters: $\mu_{\beta_2}$, $\mu_\gamma$, $\gamma_0$ and $Q_0$. The influence of $\gamma$-oscillations to the reduced probabilities of E2-transitions takes into account are numerically. The sensitivity of the intra-/inter-band reduced E2-transition probabilities to the triaxiality parameter was analyzed.