  We investigate the effects of the spin-orbit coupling (SOC) in a
three-orbital impurity model with Kanamori interaction using the numerical
renormalization group method. We focus on the impurity occupancy $N_d=2$
relevant to the dynamical mean-field theory studies of Hund's metals. Depending
on the strength of SOC $\lambda$ we identify three regimes: usual Hund's
impurity for $|\lambda|<\lambda_c$, van-Vleck non-magnetic impurity for
$\lambda > \lambda_c$, and a $J=2$ impurity for $\lambda < -\lambda_c$. They
all correspond to a Fermi liquid but with very different quasiparticle phase
shifts and different physical properties. The crossover between these regimes
is controlled by an emergent scale, the orbital Kondo temperature, $\lambda_c
=T_K^\mathrm{orb}$ that drops with increasing interaction strength. This
implies that oxides with strong electronic correlations are more prone to the
effects of the spin-orbit coupling.
