  We discuss pairing of light-matter bosons under effective spin-orbit (SO)
coupling in two-dimensional semiconductors. The SO coupling is shown to induce
dynamical broadening of a two-body bound state. Application of a transverse
magnetic field yields the rich Feshbach resonance phenomenology. We predict
quantum bosonic halos with a synthetic angular momentum L=2. The d-wave-like
dressing of the nominally s-wave bound state is induced by SO coupling to the
continuum in the open channel. The fundamental properties of the emergent
quantum number remain to be explored.
