How the Pauli principle governs the decay of three-cluster systems
- 作者：Yu.A. Lashko ; G.F. Filippov
- 关键词：Three-cluster microscopic model ; Pauli-allowed states ; Resonating-group method ; Neutron-rich nuclei
- 刊名：Nuclear Physics A
- 出版年：2008
- 期刊代码：44_03759474
- 类别：ph
- 出版时间：15 June 2008
- 卷：806
- 期：1-4
- 页码：124-145
- 文件大小：427 K
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.