The strong coupling constants of spin-3/2 to spin-1/2 doubly heavy baryon transitions with light vector mesons are estimated within the light-cone QCD sum rules method. Moreover, using the vector-meson dominance ansatz, the widths of radiative decays $B_{QQ}^* to B_{QQ} gamma$ are calculated. The results for the said decay widths are compared to the predictions of other approaches.
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