Constraint on a new short-range spin-orbit interaction from neutron diffraction data for a noncentrosymmetric crystal

A constraint $g^{2}_{A}\leq4.5\times10^{-24}(g^2+1/\lambda^2_A)$ on the constant $g_A$ of a new short-range (spin-orbit) interaction between nucleons, which is due to the exchange by a light spin-$1$ boson with the mass $m_{A}=\hbar/\lambda_{A}c$, has been obtained from experimental data on the transmission of neutrons through a noncentrosymmetric perfect crystal near the Bragg reflection characterized by the reciprocal lattice vector $\mathbf{g}$. This constraint is the best in the interaction radius range $\lambda_A=10^{-12}$–$10^{-5}$ m.