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A modified static exchange model is introduced, it could be useful to controlthe elastic s-wave scattering length in studying cold-atomic interaction. Thetheory includes the long-range van der Waals interaction in addition toshort-range exchange force. The model is applied on Ps-H system to study theFeshbach resonances e.g. the s-wave elastic phase shifts and the correspondingcross sections at ultracold energies. These are compared with the data obtainedusing the static exchange model. A very interesting features are observed whenwe vary the interatomic separation i.e. the strength of dipole-dipoleinteraction.

The atom and atom scattering model to control ultracold collisions