Phys. Rev. A 67, 053612 (2003) [6 pages]Beyond the Fermi pseudopotential: A modified Gross-Pitaevskii equationReceived 17 February 2003; published 27 May 2003 We present an effective potential and the corresponding modified Gross-Pitaevskii equation, which account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground-state energy of a trapped condensate, the theory leads to what we call a shape-dependent confinement correction that improves agreements with diffusion Monte Carlo calculations. The theory illustrates, for relatively strong confinement and/or high density, how the shape dependence on atom-atom interaction can come into play in a many-atom quantum system. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.053612
DOI:
10.1103/PhysRevA.67.053612
PACS:
03.75.Hh, 05.30.Jp
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