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We calculate the strong coupling constants among the doubly heavy spin-$\frac{3}{2} $ baryons $\Xi^*_{QQ}$ and $\Omega^*_{QQ}$, with $ Q $ and $ Q' $being $ c$ or $ b $ quark, with light vector meson by means of the light-coneQCD sum rules. The matrix elements defining these vertices are described byfour coupling constants $ g_1$, $ g_2$, $ g_3$, and $ g_4 $. The unwantedpollution coming from the doubly heavy spin-$ \frac{1}{2} $ baryons are removedby a special ordering of Dirac matrices and selection of appropriate Lorentzstructures. The strong coupling constants are basic parameters that carryinformation on the nature of the strong interaction among hadronic multiplets.Investigation of these parameters may help physicists in the construction ofthe strong potentials among the doubly heavy baryons and light vector mesons.The values obtained for the strong coupling constants may also helpexperimental groups in analyses of the data produced at various hadroncolliders.

Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons