Weakly bound atomic trimers in ultracold traps

Abstract

The experimental three-atom recombination coefficients of the atomic states ${}^{23}$Na$|F=1,m_F=-1>$, ${}^{87}$Rb$|F=1,m_F=-1>$ and ${}^{85}$Rb$|F=2,m_F=-2>$, together with the corresponding two-body scattering lengths, allow predictions of the trimer bound state energies for such systems in a trap. The recombination parameter is given as a function of the weakly bound trimer energies, which are in the interval $1<m(a/\hslash {)}^2{E}_3<6.9$ for large positive scattering lengths, $a$. The contribution of a deep-bound state to our prediction, in the case of ${}^{85}$Rb$|F=2,m_F=-2>$, for a particular trap, is shown to be relatively small.

5 pages, 1 figure

References in corpus (7)

• Atom--Molecule Coherence in a Bose-Einstein Condensate
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Photoassociation of sodium in a Bose-Einstein condensate
• Three-body recombination into deep bound states in a Bose gas with large scattering length
• Microscopic Dynamics in a Strongly Interacting Bose-Einstein Condensate
• Microscopic theory of atom-molecule oscillations in a Bose-Einstein condensate
• Universal Equation for Efimov States

Cited by in corpus (6)

• Universality in Few-body Systems with Large Scattering Length
• Triatomic continuum resonances for large negative scattering lengths
• Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Recombination rates from potential models close to the unitary limit