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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