  We investigate the confinement induced resonance in spin-orbit coupled cold
atoms with Raman coupling. We find that the quasi-bound levels induced by the
spin-orbit coupling and Raman coupling result in the Feshbach-type resonances.
For sufficiently large Raman coupling, the bound states in one dimension exist
only for sufficiently strong attractive interaction. Furthermore, the bound
states in quasi-one dimension exist only for sufficient large ratio of the
length scale of confinement to three dimensional s-wave scattering length. The
Raman coupling substantially changes the confinement-induced resonance
position. We give a proposal to realize confinement induced resonance by
increasing the Raman coupling strength in experiments.
