OPTIMIZED LOWER-BOUND FOR 4-BODY HAMILTONIANS

Citation
A. Benslama et al., OPTIMIZED LOWER-BOUND FOR 4-BODY HAMILTONIANS, Few-body systems, 24(1), 1998, pp. 39-54
Citations number
14
Categorie Soggetti
Physics
Journal title
ISSN journal
01777963
Volume
24
Issue
1
Year of publication
1998
Pages
39 - 54
Database
ISI
SICI code
0177-7963(1998)24:1<39:OLF4H>2.0.ZU;2-J
Abstract
Generalizing a method elaborated for three-body systems, we derive a n ew lower bound on four-body ground-state energies in terms of two-body binding energies in the unequal-mass case. For simple power-law poten tials, this bound is compared to variational calculations and is shown to be very close to the exact result. In particular, it gives the exa ct answer for harmonic interactions.