New deformed model of α-decay half-lives with a microscopic potential

The α-decay half-lives of deformed nuclei are investigated in a new version of the density-dependent cluster model. By the multipole expansion method, the deformation- and orientation-dependent double-folding potential is derived to calculate the α-decay width through a deformed Coulomb barrier. We perform systematic calculations for the ground-state α transitions of even-even nuclei with $Z=52\mathrm{-}104$. The theoretical results are in good agreement with the experimental data. This is, to our knowledge, the first deformed calculation of α-decay half-lives within the framework of microscopic double-folding potentials. A unified description of α-decay half-lives of both spherical and deformed nuclei is obtained by the microscopic potentials.

Figure 1

(Color online) The double-folding nuclear potential of ${}^{236}\mathrm{U}$ for two orientations, $\beta =0°$ and $\beta =90°$.

Figure 2

(Color online) The comparison of experimental α-decay half-lives and theoretical ones for even-even nuclei ($Z=52-104$).

Figure 3

(Color online) The distribution of the number of α emitters for different factors of agreement.