Stretching p-wave molecules by transverse confinements

We revisit the confinement-induced p-wave resonance in quasi-one-dimensional (quasi-1D) atomic gases and study the induced molecules near resonance. We derive the reduced 1D interaction parameters and show that they can well predict the binding energy of shallow molecules in quasi-1D system. Importantly, these shallow molecules are found to be much more spatially extended compared to those in three dimensions (3D) without transverse confinement. Our results strongly indicate that a p-wave interacting atomic gas can be much more stable in quasi-1D near the induced p-wave resonance, where most weight of the molecule lies outside the short-range regime and thus the atom loss could be suppressed.