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It is proven that the sum rules for X-ray magnetic dichroism (XMCD) spectrathat are used to separate spin and orbital contributions to the magnetic momentare formally correct for an arbitrary strength of electron-electroninteractions. However, their practical application for strongly correlatedsystems can become complicated due to the spectral density weight spreadingover a broad energy interval. Relevance of incoherent spectral density for theXMCD sum rules is illustrated by a simple model of a ferromagnet with orbitaldegrees of freedom.Comment: 4 pages, final versio

Sum rules for X-ray magnetic circular dichroism spectra in strongly correlated ferromagnets