Crossover trimers connecting continuous and discrete scaling regimes

Abstract

For a system of two identical fermions and one distinguishable particle interacting via a short-range potential with a large s-wave scattering length, the Efimov trimers and Kartavtsev-Malykh trimers exist in different regimes of the mass ratio. The Efimov trimers are known to exhibit a discrete scaling invariance, while the Kartavtsev-Malykh trimers feature a continuous scaling invariance. We point out that a third type of trimers, "crossover trimers", exist universally regardless of short-range details of the potential. These crossover trimers have neither the discrete nor continuous scaling invariance. We show that the crossover trimers continuously connect the discrete and continuous scaling regimes as the mass ratio and the scattering length are varied. We identify the regions for the Kartavtsev-Malykh trimers, Efimov trimers, crossover trimers, and non-universal trimers as a function of the mass ratio and the s-wave scattering length by investigating the scaling property and model-independence of the trimers.

14 pages, 9 figures

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Cited by in corpus (25)

• Efimov Physics: a review
• Few-body physics in resonantly interacting ultracold quantum gases
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Quantum mixtures of ultracold gases of neutral atoms
• $N$-boson spectrum from a Discrete Scale Invariance
• Universal Trimers induced by Spin-Orbit Coupling in Ultracold Fermi Gases
• Universal clusters as building blocks of stable quantum matter
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
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• Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas