Semisuper Efimov effect induced by resonant pair exchange in mixed dimensions

Exchange of the resonant pair of fermions between two bosons is shown to induce a nearly scale-invariant attraction, which leads to an infinite number of bound states obeying the universal scaling law of binding energies. This system constitutes a new member in the class of semisuper Efimov effect, potentially relevant to two-neutron halo nuclei as well as ultracold atoms.