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Issue
EPL
Volume 85, Number 3, February 2009
Article Number 33001
Number of page(s) 4
Section Atomic, Molecular and Optical Physics
DOI http://dx.doi.org/10.1209/0295-5075/85/33001
Published online 05 February 2009
EPL, 85 (2009) 33001
DOI: 10.1209/0295-5075/85/33001

Ritz variational treatment of the 4He trimer

S Geltman

Department of Physics, University of Colorado - Boulder, CO 80309-0390, USA

geltman@colorado.edu

received 20 January 2009; accepted in final form 27 January 2009; published February 2009
published online 5 February 2009

Abstract
The 4He trimer is treated by the Ritz variational method using trial functions whose accuracy has been tested by a similar treatment of the dimer, for which an exact solution exists. These are nodeless functions containing four nonlinear parameters that are varied to give the minimum value for the ground-state energy. Agreement with measurement is obtained for the mean bond lengths of the trimer, but there is some disagreement with other non-variational calculations of the ground-state binding energy.

PACS
31.15.xt - Variational techniques.
33.15.Dj - Interatomic distances and angles.
33.15.Fm - Bond strengths, dissociation energies.

© EPLA 2009