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The cluster model of α-decay is extended to the regions around doubly magic spherical nucleus ~(208)Pband around deformed shell closure ~(270)Hs,respectively.The effects of spherical shell closures (N=126 and Z=82) onα-decay are investigated by introducing an N-dependent α-preformation factor and a Z-dependent one inspired by amicroscopic model.Good agreement between the theoretical α-decay hag-fives and the measured ones is obtained forthe spherical nuclei near the doubly magic nucleus ~(208)Pb,where the nuclear shell effect is included in the expression ofα-preformation factor.The cluster model is also generalized for the decay of deformed nuclei.The branching ratios ofα-decays from the ground state of a parent nucleus to the ground state (0~+) of its deformed daughter nucleus and to thefirst excited state (2~+) are calculated in the framework of the cluster model.The results indicate that a measurement ofa spectroscopy is a feasible method to extract the information of nuclear deformation of superheavy nuclei around thedeformed nucleus ~(270)Hs.
The cluster model of α-decay is extended to the regions around doubly magic spherical nucleus ~ (208) Pband around deformed shell closure ~ (270) Hs, respectively. These effects of spherical shell closures (N = 126 and Z = 82) on α -decay are investigated by introducing an N-dependent α-preformation factor and a Z-dependent one inspired by amicroscopic model. Good agreement between the theoretical α-decay hag-fives and the measured ones is obtained forthe spherical nuclei near the doubly magic nucleus ~ (208) Pb, where the nuclear shell effect is included in the expression of α-preformation factor. The cluster model is also generalized for the decay of deformed nuclei. The branching ratios of α-decays from the ground state of a parent nucleus to the ground state (0 ~ +) of its deformed daughter nucleus and to the first excited state (2 ~ +) are calculated in the framework of the cluster model. The results that a measurement of a spectroscopy is a feasible method to extract the information of nuclear deformation of superheavy nuclei around the deformed nucleus ~ (270) Hs.