VARIATIONAL ASPECTS OF FADDEEV CALCULATIONS

Citation
Gl. Payne et Bf. Gibson, VARIATIONAL ASPECTS OF FADDEEV CALCULATIONS, Few-body systems, 14(3), 1993, pp. 117-125
Citations number
31
Categorie Soggetti
Physics
Journal title
ISSN journal
01777963
Volume
14
Issue
3
Year of publication
1993
Pages
117 - 125
Database
ISI
SICI code
0177-7963(1993)14:3<117:VAOFC>2.0.ZU;2-1
Abstract
We examine differences between H-3 binding energies obtained by solvin g the Faddeev equations using standard partial-wave expansion procedur es and results from solving the Schrodinger equation by means of the c oupled-rearrangement-channel variational method. Variational bounds ge nerated from Faddeev solutions for several contemporary, realistic pot ential models are presented as a function of the number of partial wav es retained in the potential expansion. We demonstrate that the Faddee v wave function yields an optimal variational bound for the partial-wa ve truncated potential from which it is generated, but it does not yie ld optimal bounds for the full Hamiltonian or when the potential is pa rtial-wave truncated at a different level. Finally, qualitative differ ences between H-3 solutions for static models such as the AV14 and RSC potentials and for momentum-dependent models such as the Nijmegen sof t-core and Paris potentials are explored, and comparison is made with solutions for the RSC/TM two-body-force plus three-body-force model.