A pseudo-potential analog for zero-range photoassociation and Feshbach resonance
arXiv:cond-mat/0506383 · doi:10.1103/PhysRevLett.96.100401
Abstract
A zero-range approach to atom-molecule coupling is developed in analogy to the Fermi-Huang pseudo-potential treatment of atom-atom interactions. It is shown by explicit comparison to an exactly-solvable finite-range model that replacing the molecular bound-state wavefunction with a regularized delta-function can reproduce the exact scattering amplitude in the long-wavelength limit. Using this approach we find an analytical solution to the two-channel Feshbach resonance problem for two atoms in a spherical harmonic trap.
References in corpus (9)
- Observation of resonance condensation of fermionic atom pairs
- Tuning the scattering length with an optically induced Feshbach resonance
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Observation of molecules produced from a Bose-Einstein condensate
- Formation of Quantum-Degenerate Sodium Molecules
- Ramsey fringes in a Bose-Einstein condensate between atoms and molecules
- Coherent molecular bound states of bosons and fermions near a Feshbach resonance
- Simple Mean-Field Theory for a Zero-Temperature Fermi Gas at a Feshbach Resonance
- Feshbach-Resonant Interactions in 40K and 6Li Degenerate Fermi Gases