Short range asymptotic behavior of the wave-functions of interacting   spin-half fermionic atoms with spin-orbit coupling: a model study
  We consider spin-half fermionic atoms with isotropic Rashba spin-orbit coupling in three directions. The interatomic potential is modeled by a square well potential. We derive the analytic form of the asymptotic wave-functions at short range of two fermions in the subspace of zero net momentum and zero total angular momentum. We show that the spin-orbit coupling has perturbative effects on the short range asymptotic behavior of the wave-functions away from resonances. We argue that our conclusion should hold generally. 
Yuxiao Wu and Zhenhua Yu
cond-mat.quant-gas quant-ph