Impact of the Coriolis interaction on the potential landscape evolution across the nuclide chart: Systematic total-Routhian-surface calculations

Rotational structure properties along the yrast line for 766 observed even-even nuclei with Z ≥ 20 in the nuclide chart have been systematically studied by means of the approach of pairing-deformation self-consistent total Routhian surface calculations in three-dimensional deformation space (β 2, γ, β 4). Typical two-dimensional maps of the total nuclear energy are presented as functions of rotational frequency ̄hω. Various types of physical quantities (including nuclear shapes, aligned angular momenta, pairing gaps and excitation energies) are presented in the (Z, N) plane, indicating the overall characteristics. The ground-state deformations are compared with experimental data and other theoretical results. The present investigation shows that the Coriolis coupling may affect the overall properties systematically, for instance, enforcing regular drifts of the different deformation ‘islands’. We believe that the synthetic presentation will be helpful when planning high-spin experiments, especially in the data-scarce drip-line or superheavy regions. Moreover, such systematic and large-scale calculation and analysis can help overcoming and eliminating the bias among different theoretical models and be useful for checking and developing them.

Total Routhian surface calculations to study the abrupt band termination phenomenon in 121,123I

The phenomenon of abrupt band termination in [Formula: see text]I has been revisited in the light of total Routhian surface (TRS) calculations. Both axial ([Formula: see text]) and nonaxial ([Formula: see text]) quadrupole deformation parameters have been estimated for the negative parity states. The calculation has also been extended for [Formula: see text]I and the theoretical result has been compared with the available experimental information. The calculated transition quadrupole moments ([Formula: see text]) are matching nicely upto [Formula: see text] MeV. The noncollective oblate shapes become yrast at higher angular frequency in [Formula: see text]I. At lower spin, all of these nuclei exhibit a collective prolate shape. This sudden change in shape at [Formula: see text] is indicative of the loss of collectivity at [Formula: see text]–[Formula: see text] MeV.

Similar alignment based on total-Routhian-surface approach in an α-decay chain from 216Po to 272Cn

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.