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Scattering of universal fermionic clusters in the resonating group method

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Naidon, P 
Endo, S 
García-García, AM 


Mixtures of polarised fermions of two different masses can form weakly-bound clusters, such as dimers and trimers, that are universally described by the scattering length between the heavy and light fermions. We use the resonating group method to investigate the low-energy scattering processes involving dimers or trimers. The method reproduces approximately the known particle-dimer and dimer-dimer scattering lengths. We use it to estimate the trimer-trimer scattering length, which is presently unknown, and find it to be positive.



few-body problems, few-body universality, Efimov effect, ultra-cold atoms, resonating group method

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Journal of Physics B: Atomic, Molecular and Optical Physics

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IOP Publishing
Engineering and Physical Sciences Research Council (EP/I004637/1)
The authors are grateful to Tetsuo Hatsuda, Vojtěk Krejčiřík, Eite Tiesinga, and Sofia Quaglioni for helpful discussions. P. N. acknowledges support from RIKEN through the Incentive Research Project funding. S. E. acknowledges support from JSPS. A. M. G. was supported by EPSRC, grant No. EP/I004637/1, FCT, grant PTDC/FIS/111348/2009 and a Marie Curie International Reintegration Grant PIRG07-GA-2010- 268172.