The strong coupling constant of doubly heavy baryons with light pseudoscalar mesons π and K are computed within the light cone sum rules. We take into account two-particle and three-particle distribution amplitudes of the said pseudoscalar mesons. We compare our result with the one existing in the literature.

Using the most general form of the interpolating current for baryons, the strong electric and magnetic coupling constants of light vector mesons $$ \rho $$ ρ and $$ K^* $$ K ∗ with doubly heavy baryons are computed within the light-cone sum rules. We consider 2- and 3-particle distribution amplitudes of the aforementioned vector mesons. The obtained results can be useful in the analysis of experimental data on the properties of doubly heavy baryons conducted at LHC.

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The form-factors for the transition N * (1535) → N induced by isovector and isoscalar axial currents within the framework of light-cone QCD sum rules by using the most general form of the interpolating current are calculated. In numerical calculations, we use two sets of values of input parameters. It is observed that the Q 2 dependence of the form-factor G A can be described by the dipole form. Moreover, the form-factors G (S) P are found to be highly sensitive to the variations in the auxiliary