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Magnetic moments of J(P)=3/2-baryons in QCD

The magnetic moments of the low lying, negative parity, spin-3/2 baryons, including the Lambda* baryon, are calculated within the light cone QCD sum rules method. The contributions coming from the positive parity, spin -3/2 baryons, as well as from the positive and negative parity spin -1/2 baryons are eliminated by constructing combinations of various invariant amplitudes corresponding to the coefficients of the different Lorentz structures. We also present the results for the magnetic moments of the positive parity, spin -3/2 baryons.