Rostock 2019 – scientific programme

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A: Fachverband Atomphysik

A 13: Ultra-cold atoms (joint session A/Q)

A 13.4: Talk

Wednesday, March 13, 2019, 11:15–11:30, S HS 1 Physik

Bound states in a one-dimensional three-body system. — •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 — 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.

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 contact heavy-light interactions, and therefore apply the integral equations of Skorniakov and Ter-Martirosian, in order to obtain the three-body energy spectrum together with the corresponding wave functions. Both spectrum and wave functions are compared to the ones obtained within the Born-Oppenheimer approximation.