Mainz 2017 – scientific programme
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A: Fachverband Atomphysik
A 15: Ultracold atoms and BEC - III (with Q)
A 15.2: Talk
Tuesday, March 7, 2017, 14:45–15:00, N 1
Novel states in a three-body system with a p-wave resonance — •Matthias Zimmermann1, Santiago I. Betelu2, Maxim A. Efremov1, and Wolfgang P. Schleich1 — 1Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, 89081 Ulm, Germany — 2Department of Mathematics, University of North Texas, Denton, TX 76203-5017, USA
One of the most intriguing phenomena of few-body physics is the Efimov effect, 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 s-wave resonance.
We present a novel class of purely quantum-mechanical bound states in the system of three particles in two dimensions provided: (i) the system consists of a light particle and two heavy bosonic ones, and (ii) the heavy-light short-range potential has a p-wave resonance. Within the familiar Born-Oppenheimer approach, the effective potential between the two heavy particles is shown to be attractive and of long-range, resulting in an infinite number of universal bound states corresponding to a vanishing total angular momentum of the three-body system.
In order to verify our analytical results we employ a numerical scheme utilizing spectral methods. This enables us to discretize the stationary Schrödinger equation in function space in order to achieve exponential convergence. We solve the resulting eigenvalue problem with the Data Vortex supercomputing system.