Optimized Lower Bound for Four-Body Hamiltonians |
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| Authors: | A. Benslama A. Metatla A. Bachkhaznadji S. R. Zouzou A. Krikeb J.-L. Basdevant J.-M. Richard T. T. Wu |
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| Affiliation: | (1) Département de Physique Théorique, Institut de Physique, Université de Constantine, Route d'Ain El Bey, 25000 Constantine, Algeria, DZ;(2) Institut de Physique Nucléaire, Université Claude Bernard, CNRS-IN2P3, 43 Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France, FR;(3) Division de Physique Théorique, Institut de Physique Nucléaire, Université Paris-Sud, F-91406 Orsay, and Département de Physique, école Polytechnique, F-91128 Palaiseau, France, FR;(4) Institut des Sciences Nucléaires, Université Joseph Fourier, CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble Cedex, France, FR;(5) Gordon McKay Laboratory, Harvard University, Cambridge, MA 02138, USA, and CERN, Theory Division, CH-1211 Genève 23, Switzerland, CH |
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| Abstract: | ![]()
Generalizing a method elaborated for three-body systems, we derive a new lower bound on four-body ground-state energies in terms of two-body binding energies in the unequal-mass case. For simple power-law potentials, this bound is compared to variational calculations and is shown to be very close to the exact result. In particular, it gives the exact answer for harmonic interactions. Received November 6, 1997; accepted in final form February 6, 1998 |
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