We perform an extensive investigation on $\alpha$ decays in both even-$A$ and odd-$A$ nuclei within the new version of the generalized density-dependent cluster model. The microscopic deformed potential is numerically constructed in the double-folding model by the multipole expansion method. The coupled-channel effect resulting from nuclear deformation is included by using the coupled-channel Schrödinger equation with outgoing wave boundary conditions. The fine structure observed in $\alpha$ decay is well described by taking into account the angular momentum of the emitted $\alpha$ particle and the Boltzmann distribution of excitation spectrum in daughter nuclei. A good agreement between experiment and theory is achieved, and the results of our calculations are discussed in detail, together with the sensitivity of the calculated half-lives and branching ratios to some physical quantities used in the calculations.

• Received 31 December 2009

DOI:https://doi.org/10.1103/PhysRevC.81.024315