Three-body recombination in a single-component Fermi gas with $p$-wave interaction

Abstract

We study the three-body recombination of identical fermionic atoms. Using a zero-range model for the $p$-wave interaction, we show that the rate constant of three-body recombination into weakly bound $p$-wave dimers can be written as ${\alpha }_{\mathrm{rec}}\propto v^{5/2}{R}^{1/2}{k}_T^4(1+C{k}_T^2{l}_{\mathrm{d}}^2)$ for large and positive scattering volume $v$. Here $R$ is the $p$-wave effective range, $k_T^2$ gives the average thermal kinetic energy of the colliding atoms, and $l_{\mathrm{d}}$ is the size of the $p$-wave dimer. The leading term is different from the usually stated $v^{8/3}$-scaling law, but is consistent with an earlier two-channel calculation. For the subleading term, we compute the constant $C$ by solving the relevant three-body problem perturbatively when the parameter $\gamma \equiv R/v^{1/3}$ is small. The additional $C{k}_T^2{l}_{\mathrm{d}}^2$ term provides important corrections for the temperature and interaction dependence of ${\alpha }_{\mathrm{rec}}$, especially close to resonance when $k_T{l}_{\mathrm{d}}$ is relatively large.

arXiv comment14 pages, 1 figure

References in corpus (40)

• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Efimov Physics: a review
• Observation of an Efimov spectrum in an atomic system
• Three-boson problem near a narrow Feshbach resonance
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Efimov Physics in Cold Atoms
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Recombination of three ultracold fermionic atoms
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Strongly-resonant p-wave superfluids
• Testing universality of Efimov physics across broad and narrow Feshbach resonances
• Stabilization of the p-wave superfluid state in an optical lattice
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Modeling interactions for resonant p-wave scattering
• Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector
• Liberating Efimov physics from three dimensions
• Impossibility of the Efimov effect for p-wave interactions
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Stretching p-wave molecules by transverse confinements
• Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Three-body losses of a polarized Fermi gas near a p-wave Feshbach resonance in effective field theory
• Scattering hypervolume for ultracold bosons from weak to strong interactions
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations
• Three-body bound states in atomic mixtures with resonant p-wave interaction
• Exact solution of the three-boson problem at vanishing energy
• Scattering Hypervolume of Spin-Polarized Fermions
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• Stability of a Fully Polarized Ultracold Fermi Gas near Zero-Crossing of a p-wave Feshbach Resonance

Cited by in corpus (3)

• Transport in p-wave interacting Fermi gases
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Elastic collision rates of spin-polarized fermions in two dimensions