How the Pauli principle governs the decay of three-cluster systems
| dc.creator | Lashko, Yuliya | |
| dc.creator | Filippov, Gennady | |
| dc.date | 2007-12-24 | |
| dc.date.accessioned | 2026-07-07T11:39:40Z | |
| dc.date.available | 2026-07-07T11:39:40Z | |
| dc.description | 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. | |
| dc.description | 18 pages, 3 figures, 3 tables | |
| dc.identifier | https://arxiv.org/abs/0712.4013 | |
| dc.identifier | http://arxiv.org/abs/0712.4013 | |
| dc.identifier | Nucl.Phys.A806:124-145,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2008.03.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200004 | |
| dc.subject | Nuclear Theory | |
| dc.title | How the Pauli principle governs the decay of three-cluster systems | |
| dc.type | text |