  Universal relations are important for understanding strongly interacting
Fermi gases, the study of which have been mostly limited to cases with a single
scattering channel. Here we discover a series universal relations for strongly
interacting Fermi gases with multiple scattering channels. Unlike its
counterpart across a single channel wide magnetic Feshbach resonance, a new
kind of contact which we call the cross-channel contact naturally appears in
this system, this contact is related to varies thermodynamic quantities as well
as short range correlation functions.
