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Tunable Fujita-Miyazawa-type three-body force in ultracold atoms

Hiroyuki Tajima1,2,3, Eiji Nakano4, and Kei Iida5,4,2

Phys. Rev. A 113, L011305 – Published 28 January, 2026

DOI: https://doi.org/10.1103/v1y3-2b6r

Abstract

We show how a Fujita-Miyazawa-type three-body force emerges among three impurity atoms immersed in an atomic Bose-Einstein condensate near an interspecies Feshbach resonance. As a result of the thermal average over excitations in the medium and impurities as well as expansion with respect to the impurity-medium and Feshbach resonance couplings, two superfluid phonons and a closed-channel resonance play a role in producing an effective three-body force, as in the original three-nucleon case in which two pions and a Δ resonance are involved. The proposed Fujita-Miyazawa-type three-body force can be enhanced by tuning the closed-channel energy level via an external magnetic field, and moreover, its strength can be confirmed experimentally by measuring the impurity equation of state. Our result gives a new insight into the analogy between atomic polarons and nuclear few-body systems.

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