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The scattering cross section for two identical fermions at low temperature is given by: $\sim 8\pi a_1^2(ka_1)^4$. I was wondering what happens if the two fermions have different spins - does it change the form of the cross section?

I was wondering if BCS or BEC attraction would mean the particles form a meta stable state and hence the scattering length would increase but even if this was true would this change the cross section?

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