  The light cone sum rules method is used in studying the radiative decays
$\Sigma_Q \to \Lambda_Q \gamma$ and $\Xi^\prime_Q \to \Xi_Q \gamma$. Firstly,
the sum rules for the form factor $F_2(Q^2=0)$ responsible for these
transitions is constructed. Using this result the decay widths of the
above--mentioned decays are calculated and analyzed. A comparison of our
predictions on the decay widths of considered transitions with the predictions
of the other approaches is presented.
