# Heidelberg 2015 – wissenschaftliches Programm

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# SYEP: Symposium Efimov Physics

## SYEP 2: Symposium Efimov Physics II

### SYEP 2.3: Vortrag

### Montag, 23. März 2015, 15:30–15:45, C/gHS

**Few-body physics induced by ***p***-wave resonance** — •Maxim A. Efremov and Wolfgang P. Schleich — Institut für Quantenphysik, Universität Ulm, Germany

One of the most intriguing phenomenon of few-body physics is the Efimov effect [1], which manifests itself in an infinite number of weakly bound three-body states if at least two of the three two-body subsystems exhibit a single weakly *s*-wave bound state or resonance.

We present novel class of purely quantum-mechanical bound states in the system of three particles provided: (i) the system consists of a light particle and two heavy bosonic ones, (ii) the heavy-light short-range potential has a *p*-wave resonance, and (iii) all three particles move in either three [2] or two [3] space dimensions. In the case of an exact *p*-wave resonance and *three dimensions*, the effective potential between the two heavy particles is attractive and of long-range, supporting a *finite* number of bound states, with the spectrum strongly determined by the parameters of the underlying p-wave resonance. However, in *two dimensions*, the effective potential between the two heavy particles is attractive and of long-range, resulting in an *infinite* number of the universal bound states. Moreover, due to the weak dependence of the effective potential on the parameters of the planar *p*-wave resonance, the two-dimensional three-body bound states display a Coulomb series with a Gaussian cut-off governed solely by the mass ratio.
[1] V. Efimov, Phys. Lett. B 33, 563 (1970)
[2] M.A. Efremov, L. Plimak, M.Yu. Ivanov, and W.P. Schleich, PRL 111, 113201 (2013)
[3] M.A. Efremov and W.P. Schleich, arXiv:1407.3352