  In this letter we show that the recently theoretically predicted and
experimentally observed "orbital Feshbach resonance" in alkali-earth-like
Yb-173 atom is a narrow resonance in energy, while it is hundreds Gauss wide in
term of magnetic field strength, taking the advantage that the magnetic moment
difference between the open and closed channels is quite small. Therefore this
is an ideal platform for the experimental realization of a strongly interacting
Fermi superfluid with narrow resonance. We show that the transition temperature
for the Fermi superfluid in this system, especially at the BCS side of the
resonance, is even higher than that in a wide resonance, which is also due to
the narrow character of this resonance. Our results will encourage experimental
efforts to realize Fermi superfluid in the alkali-earth-like Yb-173 system, the
properties of which will be complementary to extensively studied Fermi
superfluids nearby a wide resonance in alkali K-40 and Li-6 systems.
