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We discuss pairing of light-matter bosons under effective spin-orbit (SO)coupling in two-dimensional semiconductors. The SO coupling is shown to inducedynamical broadening of a two-body bound state. Application of a transversemagnetic field yields the rich Feshbach resonance phenomenology. We predictquantum bosonic halos with a synthetic angular momentum L=2. The d-wave-likedressing of the nominally s-wave bound state is induced by SO coupling to thecontinuum in the open channel. The fundamental properties of the emergentquantum number remain to be explored.

Pairing of electro-magnetic bosons under spin-orbit coupling