Multichannel Quantum Defect Theory for cold molecular collisions
arXiv:1105.4483 · doi:10.1103/PhysRevA.84.042703
Abstract
Multichannel Quantum Defect Theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching distance, it is possible to define a matrix that encapsulates the short-range collision dynamics and is only weakly dependent on energy and magnetic field. Once this has been produced, calculations at additional energies and fields can be performed at a computational cost that is proportional to the number of channels N and not to N^3. MQDT thus provides a promising method for carrying out low-energy molecular scattering calculations on systems where full exploration of the energy- and field-dependence is currently impractical.
9 pages, 9 figures. Final version, incorporating responses to referees' comments
References in corpus (10)
- A High Phase-Space-Density Gas of Polar Molecules
- Quo vadis, cold molecules? - Editorial review
- Quantum theory of ultracold atom-ion collisions
- Molecule formation in ultracold atomic gases
- Ultracold atom-molecule collisions and bound states in magnetic fields: tuning zero-energy Feshbach resonances in He-NH (3Sigma-)
- Universal model for exoergic bimolecular reactions and inelastic processes
- A Simple Quantum Model of Ultracold Polar Molecule Collisions
- Universal properties in ultracold ion-atom interactions
- Prospects for sympathetic cooling of molecules in electrostatic, ac and microwave traps
- Simple Theoretical Models for Resonant Cold Atom Interactions
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