We investigate the problem of inelastic x-ray scattering in the spin−1/2
Heisenberg model on the square lattice. We first derive a momentum dependent
scattering operator for the A1g​ and B1g​ polarization geometries. On
the basis of a spin-wave analysis, including magnon-magnon interactions and
exact-diagonalizations, we determine the qualitative shape of the spectra. We
argue that our results may be relevant to help interpret inelastic x-ray
scattering experiments in the antiferromagnetic phase of the cuprates.Comment: 5 pages, 3 figures, to appear in PR