LAUSR

In this work, we study the universal relations for 1D spin-orbital-coupled fermions near both $s$- and $p$-wave resonances using effective field theory. Since the spin-orbital coupling mixes different partial waves, a contact matrix is introduced to capture the non-trivial correlation between dimers. We find the signature of the spin-orbital coupling appears at the leading order for the off-diagonal components of the momentum distribution matrix, which is proportional to $1/q^{3}$ ($q$ is the relative momentum). We further derive the large frequency/momentum behavior of the Raman spectroscopy, which serves as an independent measurable quantity for contacts. We finally give an explicit example of contacts by considering a two-body problem.