Abstract
A new version of the generalized density-dependent cluster model is presented to describe an $\ensuremath{\alpha}$ particle tunneling through a deformed potential barrier. The microscopic deformed potential is numerically constructed in the double-folding model by the multipole expansion method. The decay width is computed using the coupled-channel Schr\"odinger equation with outgoing wave boundary conditions. We perform a systematic calculation on $\ensuremath{\alpha}$-decay half-lives of even-even nuclei ranging from $Z=52$ to $Z=104$, including $65$ well-deformed ones. The calculated $\ensuremath{\alpha}$-decay half-lives are found to be in good agreement with the experimental values. There also exists good agreement with the available experimental branching ratios for well-deformed systems.
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