Predictions of alpha-decay half-lives based on potentials from self-consistent mean-field models

Abstract

We present a microscopic model for the calculation of alpha-decay half lives employing potentials obtained from relativistic and non-relativistic self-consistent mean-field models. The nuclear and Coulomb potentials are used to obtain the tunneling probability and, in one model variant, also the knocking frequency. The model contains only one parameter. We compare this approach employing several modern mean-field parametrizations to experimental data and to the semi-empirical Viola-Seaborg systematics. We extrapolate our model to superheavy nuclei where assumptions entering semi-empirical approaches might lose validity.

arXiv commentlatex, 15 pages, 4 eps figures, accepted for publication in Nucl. Phys. A

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• A new barrier penetration formula and its application to alpha-decay half-lives
• Helium-cluster decay widths of molecular states in beryllium and carbon isotopes
• Nuclei embedded in an electron gas
• The potential for $\alpha$ induced nuclear scattering, reaction and decay, and a resonance-pole-decay model with exact explicit analytical solutions