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A pseudo-potential analog for zero-range photoassociation and Feshbach resonance

M. G. Moore
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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.

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M. G. Moore. 2005-06-15. A pseudo-potential analog for zero-range photoassociation and Feshbach resonance. https://doi.org/10.1103/physrevlett.96.100401

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