Rotational predissociation of extremely weakly bound atom-molecule complexes produced by Feshbach resonance association
arXiv:1109.1008 · doi:10.1063/1.3641643
Abstract
We study the rotational predissociation of atom - molecule complexes with very small binding energy. Such complexes can be produced by Feshbach resonance association of ultracold molecules with ultracold atoms. Numerical calculations of the predissociation lifetimes based on the computation of the energy dependence of the scattering matrix elements become inaccurate when the binding energy is smaller than the energy width of the predissociating state. We derive expressions that represent accurately the predissociation lifetimes in terms of the real and imaginary parts of the scattering length and effective range for molecules in an excited rotational state. Our results show that the predissociation lifetimes are the longest when the binding energy is positive, i.e. when the predissociating state is just above the excited state threshold.
17 pages, 5 figures
References in corpus (12)
- A High Phase-Space-Density Gas of Polar Molecules
- Cold and Ultracold Molecules: Science, Technology, and Applications
- Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
- Quo vadis, cold molecules? - Editorial review
- Ultracold Molecules in the Ro-Vibrational Triplet Ground State
- Molecule formation in ultracold atomic gases
- Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
- Production of ultracold NH molecules by sympathetic cooling with Mg
- Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture
- Ultracold atom-molecule collisions and bound states in magnetic fields: tuning zero-energy Feshbach resonances in He-NH (3Sigma-)
- External field control of collective spin excitations in an optical lattice of molecules
- Tunable disorder in a crystal of cold polar molecules