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arXiv 1407.0510nucl-th
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双幻核上的束缚团簇

Bound clusters on top of doubly magic nuclei

G. Röpke, P. Schuck, Bo Zhou, Y. Funaki, H. Horiuchi, Zhongzhou Ren, A. Tohsaki, Chang Xu, T. Yamada

备注：
24 pages, 5 figures
发表信息：
Phys. Rev. C 90, 034304 (2014)
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摘要：

对于双魔核上形成$α$粒子的情形，导出了有效的$α$粒子方程.作为一个例子，我们考虑$^{212}$ Po，其中$α$在$^{208}$ Pb核的顶部。我们将考虑核心核无限重，因此$α$粒子相对于固定中心运动，即，反冲效应被忽略。讨论了该问题的全量子解。该方法的灵感来自THSR（Tohsaki-Horiuchi-Schuck-Röpke）波函数的概念，已成功地应用于轻核。壳模型计算包括四粒子（$α$样）的相关性，当物质密度变低的相关性得到改善。在类$α$团簇穿透核心核的区域，内禀束缚态波函数在临界密度处转变为未束缚的四核子壳模型态。探索性计算$^{212}$ Po。这种预制的团簇态很难用壳模型计算来描述。讨论了类$α$团簇与类氘团簇物理行为不同的原因。

英文摘要：

An effective $α$ particle equation is derived for cases where an $α$ particle is formed on top of a doubly magic nucleus. As an example, we consider $^{212}$Po with the $α$ on top of the $^{208}$ Pb core. We will consider the core nucleus infinitely heavy, so that the $α$ particle moves with respect to a fixed center, i.e., recoil effects are neglected. The fully quantal solution of the problem is discussed. The approach is inspired by the THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function concept that has been successfully applied to light nuclei. Shell model calculations are improved by including four-particle ($α$-like) correlations that are of relevance when the matter density becomes low. In the region where the $α$-like cluster penetrates the core nucleus, the intrinsic bound state wave function transforms at a critical density into an unbound four-nucleon shell model state. Exploratory calculations for $^{212}$Po are presented. Such preformed cluster states are only hardly described by shell model calculations. Reasons for different physics behavior of an $α$-like cluster with respect to a deuteron-like cluster are discussed.

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