Using the most general form of the interpolating current for the octet
baryons, the magnetic moments of the negative-parity baryons are calculated
within the light-cone sum rules. The contributions coming from diagonal
transitions of the positive-parity baryons, and also from non-diagonal
transition between positive and negative-parity baryons are eliminated by
considering the combinations of different sum rules corresponding to the
different Lorentz structures. A comparison of our results on magnetic moments
of the negative-parity baryons with the other approaches existing in literature
is presented.Comment: 23 pages, No figures, LaTeX formatte