  A theoretical study of the low-energy scattering properties of two aligned
identical bosonic and fermionic dipoles in the presence of isotropic spin-orbit
coupling (SOC) is presented. A general treatment of particles with arbitrary
(pseudo-) spin is given in the framework of multi-channel scattering. At
ultracold temperatures and away from shape resonances or closed-channel
dominated resonances, the cross-section can be well described within the Born
approximation to within corrections due to the s-wave scattering. We compare
our findings with numerical calculations and find excellent agreement.
