Regular Article –Theoretical Physics
Efimov-like physics in fraction-dimensional Bose systems with three-body interaction
Ivan Vakarchuk Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Street, Lviv, Ukraine
Accepted: 31 October 2022
Published online: 9 November 2022
A few-body properties of spinless Bose particles interacting via the contact three-body potential in geometries with fractional dimensions are considered. We predict the existence of infinite tower of the Efimov bound states in the four-body sector at three-body resonance. A similar behavior is found in the five-body problem. It is shown that the ratio of high-energy levels in these two sectors is a universal constant. The consequences of emergence of the Efimov physics on the many-body behavior are briefly discussed.
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