Generalized Efimov Effect in One Dimension

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 rati...

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Bibliographic Details
Published in:Physical review letters 2015-10, Vol.115 (18), p.180406-180406, Article 180406
Main Authors: Moroz, Sergej, D'Incao, José P, Petrov, Dmitry S
Format: Article
Language:English
Subjects:
Critical mass
Dipoles
Emergence
Fysik
Inverse
Mathematical Physics
Physics
Quantum Physics
Scale invariance
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Summary: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.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.115.180406