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

Abstract

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.

Pulished version. More references added

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• Universal Borromean Binding in Spin-Orbit Coupled Ultracold Fermi Gases
• Contact theory for spin-orbit-coupled Fermi gases
• Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
• Efimov physics and universal trimer in spin-orbit coupled ultracold atomic mixtures
• Emergent Gauge Field for a Chiral Bound State on Curved Surface
• Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
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• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
• Universal scattering phase shift in the presence of spin-orbit coupling