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Interaction Energy of Two Trapped Bosons with Long Scattering Lengths

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Abstract.

 I study two interacting bosons confined to a harmonic trap. The interaction is assumed to be of zero range and is expressed in terms of the s-wave scattering length. The energy shifts of the harmonic-oscillator states due to the atom-atom interaction are calculated analytically. It is found that for an ordinary potential the interaction energy depends only on the scattering length, while if the scattering length is modified by a near-threshold Feshbach resonance there is also a dependence on the width of the resonance.

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  1. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen, Denmark, , , , , , DK

    S. Jonsell

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  1. S. Jonsell
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Received October 25, 2001; accepted for publication November 9, 2001

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Jonsell, S. Interaction Energy of Two Trapped Bosons with Long Scattering Lengths. Few-Body Systems 31, 255–260 (2002). https://doi.org/10.1007/s006010200030

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  • DOI: https://doi.org/10.1007/s006010200030

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