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

Autor:	G. F. Filippov, Yu.A. Lashko
Rok vydání:	2008
Předmět:	Physics Nuclear and High Energy Physics Nuclear Theory FOS: Physical sciences Eigenfunction Few-body systems Nuclear Theory (nucl-th) symbols.namesake Pauli exclusion principle Quantum mechanics Harmonics symbols Boundary value problem Wave function Harmonic oscillator Eigenvalues and eigenvectors
Zdroj:	Nuclear Physics A. 806:124-145
ISSN:	0375-9474
DOI:	10.1016/j.nuclphysa.2008.03.003
Popis:	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. Comment: 18 pages, 3 figures, 3 tables
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8ac8de37935dff7bd64d0167f6660f6 https://doi.org/10.1016/j.nuclphysa.2008.03.003 Zobrazit plný text záznamu Full Text from ScienceDirect