Fusion Barrier of Super-heavy Elements in a Generalized Liquid Drop Model
Fusion Barrier of Super-heavy Elements in a Generalized Liquid Drop Model
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DOI：
10.1088/0253-6102/42/4/594
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发表时间：
2004-10
影响因子：
3.1
通讯作者：
Chen Bao-Qiu;Ma Zhong-yu
中科院分区：
文献类型：
--
作者：
Chen Bao-Qiu;Ma Zhong-yu
本文用广义液滴模型（GLDM）计算了超重元素Z= 110，112，114，116，118的宏观变形势能。在GLDM和壳模型中引入准分子机制来描述原子核的形变。GLDM中两中心核系统的宏观能量包括体积能、表面能和库仑能，在每个质量不对称处的邻近效应，以及精确的核半径。采用Strutinsky方法计算了壳修正，并从壳模型导出了具有准分子形状的轴向变形Woods-Saxon势中的微观单粒子能量.核的总势能可以用宏观-微观方法计算为液滴能和Strutinsky壳层修正之和。应用该理论预测了冷反应64 Ni +208 Pb → 272110*，70 Zn +208 Pb → 278112*，76 Ge +208 Pb → 284114*，82 Se +208 Pb → 290116*，86 Kr +208 Pb → 294118* 的熔合势垒。研究发现，准分子形状的颈部是造成熔合势垒深谷的主要原因。在冷聚变路径中，壳修正可以预测双峰聚变势垒，并可能发生完全聚变事件。
The macroscopic deformed potential energies for super-heavy elements Z=110,112,114,116,118 are determined within a generalized liquid drop model (GLDM). A quasi-molecular mechanism is introduced to describe the deformation of a nucleus in the GLDM and the shell model simultaneously. The macroscopic energy of a two-center nuclear system in the GLDM includes the volume-, surface-, and Coulomb-energies, the proximity effect at each mass asymmetry, and accurate nuclear radius. The shell correction is calculated by the Strutinsky method and the microscopic single particle energies are derived from a shell model in an axially deformed Woods-Saxon potential with the quasi-molecular shape. The total potential energy of a nucleus can be calculated by the macro-microscopic method as the summation of the liquid-drop energy and the Strutinsky shell correction. The theory is applied to predict the fusion barriers of the cold reactions 64Ni+208Pb→ 272110*, 70Zn + 208Pb→ 278112*, 76Ge+208Pb→ 284114*, 82Se+208Pb→ 290116*, 86Kr+208Pb→ 294118*. It is found that the neck in the quasi-molecular shape is responsible for the deep valley of the fusion barrier. In the cold fusion path, double-hump fusion barriers could be predicted by the shell corrections and complete fusion events may occur.