Europhys. Lett., 69 (6), pp. 920-923 (2005)
DOI: 10.1209/epl/i2004-10445-5

Gross-Pitaevski equation and resonances in Bose-Einstein condensates

J. da Providencia¹, A. R. Sakhel², F. B. Malik³ and H. R. Glyde<sup>2

1</sup>  Department of Physics, University of Coimbra - P-3000 Coimbra, Portugal
²  Department of Physics and Astronomy, University of Delaware Newark, DE 19711, USA
³  Physics Department, Southern Illinois University Carbondale, IL 62901, USA

received 14 September 2004; accepted in final form 21 January 2005
published online 11 February 2005

Abstract
The investigation provides a criterion for the occurrence of resonances for the scattering by potentials. The Gross-Pitaevski equation, used in describing physical properties in Bose-Einstein condensates, is not compatible with the occurrence of the observed resonances. On the other hand, Geltman-Bambini and Krauss-Stevens potentials could fulfill this criterion.

PACS
34.20.-b - Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions.
34.90.+q - Other topics in atomic and molecular collision processes and interactions.

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