Sergej Moroz, Yusuke Nishida, Dam Thanh Son
We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum |l|=1 and their binding energies obey a universal doubly exponential scaling, E_3 exp(-2e^{3\pi n/4+\theta}), at large n. This "super Efimov effect" is found by a renormalization group analysis and confirmed by solving the bound state problem. We also provide an indication that there are |l|=2 four-body resonances associated with every three-body bound state at E_4 exp(-2e^{3\pi n/4+\theta-0.188}). These universal few-body states can be observed in ultracold atom experiments and should be taken into account in future many-body studies of the system.
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http://arxiv.org/abs/1301.4473
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