1–6 Sept 2019
University of Surrey
Europe/London timezone

Accuracy of the Born-Oppenheimer approximation and universality in a one-dimensional three-body system

2 Sept 2019, 14:30
20m
University of Surrey

University of Surrey

Speaker

Lucas Happ (Universität Ulm)

Description

We study a three-body system confined to one space dimension, consisting of two identical, non-interacting, heavy particles and a light particle with arbitrary mass ratio interacting with the two heavy particles. In this talk we focus on a contact heavy-light interaction, and therefore apply the exact integral equations of Skorniakov and Ter-Martirosian, in order to obtain the three-body energy spectrum together with the corresponding wave functions. The accuracy of the Born-Oppenheimer approximation is then studied by comparing both spectrum and wave functions to the exact results. In addition, we present a proof showing that the results of the contact interaction are universal, if the underlying two-body system is tuned on resonance.

Primary authors

Lucas Happ (Universität Ulm) Dr Maxim Efremov (Universität Ulm, Institut für Quantenphysik)

Presentation materials