On the Efimov Effect in Higher Partial Waves

Abstract

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum $L$, the two identical particles must be bosons or fermions. We derive analytical expressions for the elastic and inelastic atom-dimer scattering cross sections as well as the atom-dimer relaxation rate at the dimer breakup threshold. For the experimentally most relevant case of P-waves, we numerically calculate the atom-dimer scattering cross sections and relaxation rates as a function of the scattering length, three-body parameter, and mass ratio for energies away from the breakup threshold.

16 pages, 8 figures, revised version

References in corpus (18)

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Cited by in corpus (20)

• Efimov Physics: a review
• Few-body physics in resonantly interacting ultracold quantum gases
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Three-particle bound states in a finite volume: unequal masses and higher partial waves
• Scale Invariance in Heavy Hadron Molecules
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Universal description of three two-component fermions
• Three-Body $J^P=0^{+},1^{+},2^{+}$ $B^{\ast }{B}^{\ast }\bar{K}$ Bound States
• Atom-dimer scattering amplitude for fermionic mixtures with different masses: s-wave and p-wave contributions
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Mass-imbalanced fermionic mixture in a harmonic trap
• Calculations of long-range three-body interactions for Li($2{}^{2}S$)-Li($2{}^{2}S$)-Li($2{}^{2}P$)
• The ${\bar{D}}^{\ast }{\bar{D}}^{\ast }{\Sigma }_c$ Three-Body System
• Universal low-energy behavior in three-body systems
• Minlos-Faddeev regularization of zero-range interactions in the three-body problem
• Universal Angular Probability Distribution of Three Particles near Zero Energy Threshold
• The Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature
• Mass-ratio condition for non-binding of three two-component particles with contact interactions