Magnetically tunable Feshbach resonances for polar paramagnetic ground-state diatomics
are too narrow to allow for magnetoassociation starting from trapped, ultracold atoms.
We show that non-resonant light can be used to engineer the Feshbach resonances in 
their position and width. For non-resonant field strengths of the order of 10? W/cm², 
we find the width to be increased by three orders of magnitude, reaching a few Gauss.
This opens the way for producing ultracold molecules with sizeable electric and 
magnetic dipole moments and thus for many-body quantum simulations with such 
particles.