SMuK 2021 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 7: Experimental tests

GR 7.3: Talk

Thursday, September 2, 2021, 11:30–11:45, H9

BECs with Yukawa-type gravitational selfinteraction — •Sandro Gödtel and Claus Lämmerzahl — ZARM, University of Bremen, Germany

The theories of Newtonian and Einsteinian gravity are extremely powerful in describing the macroscopic world. On the other side, however, we still do not have a widely accepted description of short-range gravity. Nowadays many theories going beyond the standard model predict deviations from Newtonian gravity, commonly in the form of a Yukawa-like potential. Different experiments so far have found upper boundaries for the strength and the range of this deviation. However, most of the experiments are focused on a test body in an external gravitational field.

In this talk we present a model for a Bose-Einstein condensate which particles interact via a Newton and a Yukawa potential. In a selfconsistent manner, we determine the influence of such gravitational potentials onto the condensate. We derive the changes in the width of the cloud and the frequencies of the collective oscillations. With this, we are able to set boundaries for the parameters of the Yukawa potential and compare them to the results of current experiments.