Three-body bound states in atomic mixtures with resonant p-wave interaction

Abstract

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a non-zero orbital angular momentum. In the case of an exact resonance in the p-wave scattering amplitude, the effective potential is attractive and long-range, namely it decreases as the third power of the inter-atomic distance. Moreover, we show that the range and power of the potential, as well as the number of bound states are determined by the mass ratio of the particles and the parameters of the heavy-light short-range potential.

5 pages, submitted to Phys. Rev. Lett

References in corpus (8)

• Observation of heteronuclear atomic Efimov resonances
• Efimov Physics in Cold Atoms
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Feshbach resonances in mixtures of ultracold ${}^6$Li and ${}^{87}$Rb gases
• Feshbach resonances in an ultracold ${}^7$Li and ${}^{87}$Rb mixture
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Impossibility of the Efimov effect for p-wave interactions
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers

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• Ultracold mixtures of metastable He and Rb: scattering lengths from ab initio calculations and thermalization measurements
• Universality in a one-dimensional three-body system
• Universality of excited three-body bound states in one dimension
• Three-body universality in ultracold $p$-wave resonant mixtures
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Three-body recombination near the d-wave resonance in ultracold ${}^{85}$Rb\,-${}^{87}$Rb mixtures