A systematic investigation of collective properties in the nuclei of an [Formula: see text]-decay chain from [Formula: see text]Po to [Formula: see text]Cn has been performed in the total-Routhian-surface calculations. The empirical indicator [Formula: see text]-factor, energy ratio [Formula: see text], and the energies of the first excited state [Formula: see text] exhibit a hint about nuclear deformation or shape transition in these nuclei. The calculated results of ground state equilibrium deformations are compared with the previous study and available experimental data, showing a general agreement. In addition, the upbending behaviors in moments of inertia have been reproduced by the present work. It is found that the similar alignment of a neutron [Formula: see text] pair is mainly responsible for the upbending in the heavier nuclei. The gentle increasing angular momentums reveal the delayed alignment to certain high spins. Furthermore, taking the near proton drip-line nucleus [Formula: see text]Cn as an example, we briefly discussed the influence of the modification of Woods–Saxon potential parameters (e.g., the strength of the spin-orbit potential [Formula: see text] and the nuclear surface diffuseness [Formula: see text]) on the moment of inertia. This may imply the role of the slight parameter modifications is negligible due to almost unchanged deformation and pairing interactions at ground state.
Role of surface energy coefficients and nuclear surface diffuseness in the fusion of heavy-ions
