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arXiv 0712.4013nucl-th
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泡利原理如何支配三簇系统的衰变

How the Pauli principle governs the decay of three-cluster systems

Yuliya Lashko, Gennady Filippov

摘要:

本文基于多粒子谐振子允许态的完全基的离散表示,提出了一种新的方法来解决由一个s团簇和两个中子组成的三团簇系统的多道连续谱问题。分析了三簇范数核的本征函数结构和本征值行为。提出了利用二体子系统的本征值对三团簇系统的本征值进行分类的方法。本文建立了连续介质中三群波函数的渐近边界条件,该条件符合泡利原理的要求。这样的渐近行为对应于随后的衰变的三集群系统,而不是所谓的“民主衰变”与超球谐函数。详细讨论了5H核的3H+n+n组态。

英文摘要:

New approach to the problem of multichannel continuum spectrum of three-cluster systems composed of an s-cluster and two neutrons is suggested based on the discrete representation of a complete basis of allowed states of the multiparticle harmonic oscillator. The structure of the eigenfunctions and behavior of the eigenvalues of the three-cluster norm kernel are analyzed. Classification of the eigenvalues of the three-cluster systems with the help of eigenvalues of the two-body subsystem is suggested. Asymptotic boundary conditions for a three-cluster wave function in the continuum consistent with the requirements of the Pauli principle are established. Such asymptotic behavior corresponds rather to subsequent decay of the three-cluster system than to the so-called "democratic decay" associated with the hyperspherical harmonics. The 3H+n+n configuration of the 5H nucleus is considered in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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