title: Generalized Efimov Effect in One Dimension.
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.
authors.affiliation: Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.|Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA.
authors.forename: Sergej
authors.initials: S
authors.lastname: Moroz
authors.affiliation: JILA, University of Colorado and NIST, Boulder, Colorado 80309-0440, USA.
authors.forename: José P
authors.initials: JP
authors.lastname: D'Incao
authors.affiliation: LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France.
authors.forename: Dmitry S
authors.initials: DS
authors.lastname: Petrov