科研之友
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摘要
We study the three-body problem of two ultracold identical bosonic atoms (denoted by B) and one extra atom (denoted by X), where the scattering length a(BX) between each bosonic atom and atom X is resonantly large and positive. We calculate the scattering length a(ad) between one bosonic atom and the shallow dimer formed by the other bosonic atom and atom X, and investigate the effect induced by the interaction between the two bosonic atoms. We find that even if this interaction is weak (i.e., the corresponding scattering length a(BB) is of the same order of the van der Waals length r(vdW) or even smaller), it can still induce a significant effect for the atom-dimer scattering length a(ad). Explicitly, an atom-dimer scattering resonance can always occur when the value of a(BB) varies in the region with vertical bar a(BB)vertical bar less than or similar to r(vdW). As a result, both the sign and the absolute value of a(ad), as well as the behavior of the a(ad)-a(BX) function, depends sensitively on the exact value of a(BB). Our results show that, for a good quantitative theory, the intraspecies interaction is required to be taken into account for this heteronuclear system, even if this interaction is weak.
