Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 42: Ultra-cold atoms, ions and BEC V (with A)
Q 42.2: Talk
Wednesday, March 20, 2013, 14:30–14:45, B 302
Novel resonant states in three-body problem — •Maxim A. Efremov1, Lev Plimak1, 2, and Wolfgang P. Schleich1 — 1Institut für Quantenphysik and and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, 89069 Ulm, Germany — 2Max-Born-Institut, 12489 Berlin, Germnay
We consider the bound states of a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to the non-zero orbital momentum. Within the Born-Oppenheimer approach we suggest a novel method to find the effective potential between the heavy particles by a self-consistent scattering of a light particle by two heavy ones. In the case of the exact resonance in the p-wave scattering the effective potential is shown to be attractive and long-range, namely it decreases as the third power of inter-atomic distance. Moreover, the range and power of the potential, as well as the number of the bound states are determined mainly by the mass ratio of the heavy and light particles and the parameters of the heavy-light short-range potential.