Atomic, Molecular, and Optical Physics Seminar
Mean Fields, Scattering Lengths, and Observed Resonances in Bose-Einstein Condensates
Southern Illinois University
After a brief introduction of the similarity of currently observed resonances in Bose-Einstein condensates to the resonances seen in very low-energy neutron scattering by nuclei in the 1930's, the relation of the signature of mean-field potential and resonance in that potential will be discussed. The relation between a resonance and scattering length and effective range in a model potential will be presented. An outline of a reaction theory relating the role of the mean-field on the resonance energies as well as widths will be briefly discussed. The mean-field of Gross-Pitaevnki is not commensurate with the observation of the resonances but the Lennard-Jones type of potentials used by Stwalley in 1976, Mies et al. in 2000 and Bambini and Geltman in 2001 are suitable for investigating these resonances. Finally, the role of magnetic trap in determining the location and shape of the resonances will be outlined.
Monday, April 19, 2004
Gant Science Complex