A general theoretical description of N-body recombination
arXiv:0903.4145 · doi:10.1103/PhysRevLett.103.153201
Abstract
A formula for the cross section and event rate constant describing recombination of N particles are derived in terms of general S-matrix elements. Our result immediately yields the generalized Wigner threshold scaling for the recombination of N bosons. A semi-analytic formula encapsulates the overall scaling with energy and scattering length, as well as resonant modifications by the presence of borromean N-body states near the threshold collision energy in the entrance channel. We then apply our model to the case of four-boson recombination into an Efimov trimer and a free atom.
4 pages, 2 figures RevTeX
References in corpus (15)
- Weakly bound dimers of fermionic atoms
- Observation of an Efimov spectrum in an atomic system
- Collisional stability of a three-component degenerate Fermi gas
- Three-body recombination in a three-state Fermi gas with widely tunable interactions
- Observation of an Efimov-like resonance in ultracold atom-dimer scattering
- Evidence for Universal Four-Body States Tied to an Efimov Trimer
- Universal Properties of the Four-Body System with Large Scattering Length
- Observation of heteronuclear atomic Efimov resonances
- Four-nucleon scattering: Ab initio calculations in momentum space
- Scattering Length Scaling Laws for Ultracold Three-Body Collisions
- Energetics and structural properties of three-dimensional bosonic clusters near threshold
- Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths
- Efimov Trimer Formation via Ultracold Four-body Recombination
- Dimer-dimer collisions at finite energies in two-component Fermi gases
- N-body Efimov states of trapped bosons
Cited by in corpus (42)
- Universality in Three- and Four-Body Bound States of Ultracold Atoms
- Universal few-body physics and cluster formation
- Lifetime of the Bose Gas with Resonant Interactions
- Efimov Resonances in Ultracold Quantum Gases
- Stability of a unitary Bose gas
- Weakly Bound Cluster States of Efimov Character
- Few-body physics in resonantly interacting ultracold quantum gases
- Comparison of classical and quantal calculations of helium three-body recombination
- Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
- Supplementary information to "Efimov-driven phase transitions of the unitary Bose gas"
- Efimov-driven phase transitions of the unitary Bose gas
- Numerical study of three-body recombination for systems with many bound states
- The Hyperspherical Four-Fermion Problem
- Resonant Five-body Recombination in an Ultracold Gas of Bosonic Atoms
- Momentum-space calculation of four-boson recombination
- Green's Functions and the Adiabatic Hyperspherical Method
- Role of the intraspecies scattering length in the Efimov scenario with large mass difference
- Ultracold three-body collisions near narrow Feshbach resonances
- Three body recombination of ultracold dipoles to weakly bound dimers
- Shallow Efimov tetramer as inelastic virtual state and resonant enhancement of the atom-trimer relaxation
- Efimov States of Strongly Interacting Photons
- Glueballs in a Thermal Squeezeout Model
- Three-body recombination of two-component cold atomic gases into deep dimers in an optical model
- WIMPs Without Weakness: Generalized Mass Window with Entropy Injection
- Extension of the correlated Gaussian hyperspherical method to more particles and dimensions
- Photoassociation of a cold atom-molecule pair: long-range quadrupole-quadrupole interactions
- Enhanced n-body annihilation of dark matter and its indirect signatures
- Perturbative Unitarity of Strongly Interacting Massive Particle Models
- Scalar Co-SIMP Dark Matter: Models and Sensitivities
- Observation of Anomalous Decay of a Polarized Three-Component Fermi Gas
- Few-body physics of ultracold atoms and molecules with long-range interactions
- Three-body rf association of Efimov trimers
- Four-body legacy of the Efimov effect
- Dimer-atom-atom recombination in the universal four-boson system
- Universality in Ultra-Cold Few- and Many-Boson Systems
- Magnetic Field Dependence and Efimov Resonance Broadening in Ultracold Three-Body Recombination
- Fate of thermalization of ultracold fermions with two-body dissipation
- Interacting Bose-condensed gases
- Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
- Lellouch-Lüscher relation for ultracold few-atom systems under confinement
- Three-body Physics in the Impurity Limit of 39K Bose-Einstein Condensates
- Three-body recombination near the d-wave resonance in ultracold Rb\,-Rb mixtures