The widths of the strong decays Z + c (3900) → J/ψπ + and Z + c (3900) → ηcρ + are calculated. To this end, the mass and decay constant of the exotic Z + c (3900) state are computed by means of a two-point sum rule. The obtained results are then used to calculate the strong couplings g ZcJ/ψπ and gZ cηc ρ employing QCD sum rules on the light-cone supplied by a technique of the softmeson approximation. We compare our predictions on the mass and decay widths with available experimental data and other theoretical results.

The mass, decay constant and width of a hypothetical charmed partner Xc of the newly observed exotic X b (5568) state are calculated using a technique of QCD sum rule method. The Xc = [su][cd] state with J P = 0 + is described employing two types of the diquark-antidiquark interpolating currents. The evaluation of the mass mX c and decay constant fX c is carried out utilizing the twopoint sum rule method by including vacuum condensates up to eight dimensions. The widths of the decay channels Xc → D − s π + and Xc → D 0 K 0 are also found. To this end, the strong couplings gX cDs π and gX cDK are computed by means of QCD sum rules on the light-cone and soft-meson approximation.

The masses and residues of the radially excited heavy Ω 0 c and Ω − b baryons with spin-parity J P =

The transition magnetic dipole and electric quadrupole moments of the radiative decays of the sextet heavy flavored spin 3 2 to the heavy spin 1 2 baryons are calculated within the light cone QCD sum rules approach. Using the obtained results, the decay rate for these transitions are also computed and compared with the existing predictions of the other approaches.

Taking into account the à baryon distribution amplitudes and the most general form of the interpolating current of the à b , the semileptonicÀ transition is investigated in the framework of the light cone QCD sum rules. Sum rules for all 12 form factors responsible for the à b ! Ã' þ ' À decay are constructed. The obtained results for the form factors are used to compute the branching fraction. A comparison of the obtained results with the existing predictions of the heavy quark effective theory is presented. The results of the branching ratio shows the detectability of this channel at the Large Hadron Collider beauty in the near future is quite high.

The nucleon electromagnetic form factors are calculated in light cone QCD sum rules framework using the most general form of the nucleon interpolating current. Using two forms of the distribution amplitudes (DA's), predictions for the form factors are presented and compared with existing experimental data. It is shown that our results describe remarkably well the existing experimental data.

The mass and coupling of the doubly charmed J P = 0 − diquark-antidiquark states T ++ cc;ss and T ++ cc;ds that bear two units of the electric charge are calculated by means of QCD two-point sum rule method. Computations are carried out by taking into account vacuum condensates up to and including terms of tenth dimension. The dominant S-wave decays of these tetraquarks to a pair of conventional D + s D * + s0 (2317) and D + D * + s0 (2317) mesons are explored using QCD three-point sum rule approach, and their widths are found. The obtained results mT = (4390 ± 150) MeV and Γ = (302 ± 113 MeV) for the mass and width of the state T ++ cc;ss , as well as spectroscopic parameters mT = (4265 ± 140) MeV and Γ = (171 ± 52) MeV of the tetraquark T ++ cc;ds may be useful in experimental studies of exotic resonances.

We investigate the strong vertices among the Λ b , nucleon, and B meson as well as the Λ c , nucleon, and D meson in QCD. In particular, we calculate the strong coupling constants g Λ b NB and g Λ c ND for different Dirac structures entering the calculations. In the case of the Λ c ND vertex, we compare the result with the only existing prediction obtained at Q 2 ¼ 0.