Work

Generalized Efimov Effect in One Dimension

Year: 2015
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W1906160498
FWCI: 0.845
Cites: 34
Cited by: 28
Related to: 10