Deformed Potential Energy of 263Db in a GeneralizedLiquid Drop Model

Abstract

The macroscopic deformed potential energy for super-heavy nuclei263Db, which governs the entrance and alpha decay channels,is determined within a generalized liquid drop model (GLDM). Aquasi-molecular shape is assumed in the GLDM, which includesvolume-, surface-, and Coulomb-energies, proximity effects,mass asymmetry, and an accurate nuclear radius. The microscopicsingle particle energies are derived from a shell model in anaxially deformed Woods–Saxon potential with a quasi-molecularshape. The shell correction is calculated by the Strutinskymethod. The total deformed potential energy of a nucleus can becalculated by the macro-microscopic method as the summation of theliquid-drop energy and the Strutinsky shell correction. The theoryis applied to predict the deformed potential energy of theexperiment 22Ne + 241Am →263Db*→ 259Db + 4n, which wasperformed on the Heavy Ion Accelerator in Lanzhou. It is foundthat the neck in the quasi-molecular shape is responsible for thedeep valley of the fusion barrier due to the shell corrections. Inthe cold fusion path, the double-hump fusion barrier is predictedby the shell correction and complete fusion events may occur.