Half-width of the dip Δs_env, 1/2 and its minimum spin parameter s_env, min for Le_core { [10⁻²;10⁻¹] and a fixed Le_env = 10⁻³. ϵ varies between 6 × 10⁻³ and 6 × 10⁻², values that are small enough to allow us to use the Lorentzian profile derived for this analysis. The thick lines are iso-ϵ in the uniformly rotating magnetic case. The dashed lines are the same obtained from the hydrodynamic differentially rotating model.