Branching Ratios of α Decay for Nuclei near Deformed Shell Closures

The generalized liquid drop model (GLDM) is extended to the region around deformed shell closure ²⁷⁰Hs by taking into account the excitation energy E_I⁺ of the residual daughter nucleus and the centrifugal potential energy V_cen(r). 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 GLDM. The results support the proposal that a measurement of α spectroscopy is a feasible method to extract information on nuclear deformation of superheavy nuclei around the deformed nucleus ²⁷⁰Hs.