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arXiv 2008.01867nucl-thcond-mat.quant-gasphysics.atom-ph
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核团簇之间的有效相互作用

Effective interactions between nuclear clusters

Yoshiko Kanada-En'yo, Dean Lee

摘要:

在原子团簇模型中,利用核子-核子~($NN$)力研究了两个核团簇$d+d$,$t+t$和$α+α$之间的有效相互作用.结果表明,自旋取向的$d+d$系统中的相互作用对所有的团簇间距离都是排斥的,而$α+α$和自旋取向的$t+t$系统在中等距离上是吸引的.同核子对之间的泡利阻塞是团簇-团簇排斥的主要原因,在浅束缚极限中占主导地位。我们证明了如果$NN$力具有非零范围并且足够强以形成深度结合的$d$-团簇,或者如果$NN$力具有偶宇称和奇宇称吸引,则两个$d$ -团簇可以结合。本文还讨论了在重-轻质量极限下,两组分费米子量子系统的有效二聚体-二聚体相互作用,以及它们与核系统中团簇间相互作用的关系。我们的研究结果提供了一个概念上的基础,在文献中得到的结论,数值增加的范围或强度的本地部分的有吸引力的核子核子相互作用的结果在一个更有吸引力的集群集群相互作用。

英文摘要:

The effective interactions between two nuclear clusters, $d+d$, $t+t$, and $α+α$, are investigated within a cluster model using local nucleon-nucleon~($NN$) forces. It is shown that the interaction in the spin-aligned $d+d$ system is repulsive for all inter-cluster distances, whereas the $α+α$ and spin-aligned $t+t$ systems are attractive at intermediate distances. The Pauli blocking between identical-nucleon pairs is responsible for the cluster-cluster repulsion and becomes dominant in the shallow binding limit. We demonstrate that two $d$-clusters could be bound if the $NN$ force has nonzero range and is strong enough to form a deeply bound $d$-cluster, or if the $NN$ force has both even-parity and odd-parity attraction. Effective dimer-dimer interactions for general quantum systems of two-component fermions are also discussed in heavy-light mass limit, where one component is much heavier than the other, and their relation to inter-cluster interactions in nuclear systems are discussed. Our findings provide a conceptual foundation for conclusions obtained numerically in the literature, that increasing the range or strength of the local part of the attractive nucleon-nucleon interaction results in a more attractive cluster-cluster interaction.

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