  In this paper we explore the spin-orbit-induced bound state and molecular
signature of the degenerate Fermi gas in a narrow Feshbach resonance based on a
generalized two-channel model. Without the atom-atom interactions, only one
bound state can be found even if spin-orbit coupling exists. Moreover, the
corresponding bound-state energy depends strongly on the strength of spin-orbit
coupling, but is influenced slightly by its type. In addition, we find that
when increasing the strength of spin-orbit coupling, the critical point at
which the molecular fraction vanishes shifts from zero to the negative
detuning. In the weak spin-orbit coupling, this shifting is proportional to the
square of its strength. Finally, we also show that the molecular fraction can
be well controlled by spin-orbit coupling.
