How the Pauli principle governs the decay of three-cluster systems
Abstract
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.
Keywords
Cite
@article{arxiv.0712.4013,
title = {How the Pauli principle governs the decay of three-cluster systems},
author = {Yuliya Lashko and Gennady Filippov},
journal= {arXiv preprint arXiv:0712.4013},
year = {2008}
}
Comments
18 pages, 3 figures, 3 tables