Erlangen 2018 – scientific programme

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MO: Fachverband Molekülphysik

MO 11: Theoretical Approaches

MO 11.5: Talk

Tuesday, March 6, 2018, 15:00–15:15, PA 1.150

Comparison of theoretical methods for solving one-dimensional three-body problems — •Lucas Happ¹, Maxim A Efremov¹, and Wolfgang P Schleich^1,2 — ¹Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQ^ST), Universität Ulm, D-89069 Ulm — ²Hagler Institute for Advanced Study, Institute for Quantum Science and Engineering (IQSE), and Texas A&M AgriLife Research, Texas A&M University, College Station, TX 77843-4242, USA.

The well-known Born-Oppenheimer(BO) approach relies on the approximate separation of the dynamics of the light particles from that of the heavy ones which makes it suitable for systems with large mass-imbalance. On the other hand, the integral equation of Skorniakov and Ter-Martirosian (STM) provides in principle an exact description of a three-body system for any mass ratio.

In this presentation we compare both methods by solving one-dimensional three-body problems. We analyze a system of three particles with a s-wave resonant two-body interaction and compare the spectrum obtained via the STM method with well-known results for identical particles. In the case of a large mass-imbalance we contrast the spectrum with results of the BO approach. Finally, we extend this analysis to systems with a p-wave resonant two-particle interaction.