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We show that the bound states in a three-body system display a Coulomb series with a Gaussian cut-off provided: (i) the system consists of a light particle and two heavy bosonic ones, (ii) the heavy-light short-range potential has a resonance in the $p$-wave scattering amplitude, and (iii) all three particles move in two space dimensions.
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Our work is different from the so-called “super-Efimov“ effect [ 14 ] in two aspects: (i) large mass ratio versus identical masses, and (ii) two heavy bosons versus three polarized identical fermions
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