Abstract

The structural properties of even-even nuclei along the $\ensuremath{\beta}$-stability line are systematically analyzed and investigated by means of our improved potential-energy-surface (PES) approach. The equilibrium deformations obtained from the PES minima are compared with available experimental data and other theoretical results. From a different viewpoint, taking the nuclei on the stability line as footholds, we systematically present two-nucleon separation energies and half-lives in the corresponding isotopic chains. Very regular laws can be seen, especially below $Z=84$. The observed trends and anomalous behavior are briefly discussed. The energy difference between theory and experiment for the binding energies and two-nucleon separation energies indicates that the improved PES calculations with our fitting macroscopic model parameters are relatively in better agreement with experiments. Based on the systematic law of two-nucleon separation energies, the bound limit of even-even nuclei is crudely estimated along the stability line.

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