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The strong coupling constants of spin-3/2 to spin-1/2 doubly heavy baryontransitions with light vector mesons are estimated within the light-cone QCDsum rules method. Moreover, using the vector-meson dominance ans\"atz, thewidths of radiative decays $B_{QQ}^* \to B_{QQ} \gamma$ are calculated. Theresults for the said decay widths are compared to the predictions of otherapproaches.

Strong $B_{QQ'}^*B_{QQ'}V$ vertices and the radiative decays of $B_{QQ}^* \to B_{QQ}\gamma$ in the light-cone sum rules

Strong $B_{QQ'}^B_{QQ'}V$ vertices and the radiative decays of $B_{QQ}^ \to B_{QQ}\gamma$ in the light-cone sum rules