1211.6221 (Yuxiao Wu et al.)

Short range asymptotic behavior of the wave-functions of interacting
spin-half fermionic atoms with spin-orbit coupling: a model study    [PDF]

Yuxiao Wu, Zhenhua Yu

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.

View original: http://arxiv.org/abs/1211.6221