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arXiv · 1506.03856

Generalized Efimov effect in one dimension

Sergej Moroz·José P. D'Incao·Dmitry S. Petrov
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Abstract

We study a one-dimensional quantum problem of two particles interacting with a third one via a scale-invariant subcritically attractive inverse square potential, which can be realized, for example, in a mixture of dipoles and charges confined to one dimension. We find that above a critical mass ratio, this version of the Calogero problem exhibits the generalized Efimov effect, the emergence of discrete scale invariance manifested by a geometric series of three-body bound states with an accumulation point at zero energy.

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Sergej Moroz, José P. D'Incao, Dmitry S. Petrov. 2015-06-11. Generalized Efimov effect in one dimension. https://doi.org/10.1103/physrevlett.115.180406

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