V. O. Galkin

Mass spectra and Regge trajectories of light mesons in the relativistic quark model

Masses of the ground state and the orbitally and radially excited states of quark-antiquark mesons composed of light (u, d, s) quarks are calculated within the framework of the relativistic quark model based on the quasipotential approach. The relativistic treatment of the light quark dynamics results in mass spectra which agree well with available experimental data for the masses of the most well-established states. The Regge trajectories for angular and radial excitations are constructed, and their linearity, parallelism, and equidistance are verified. The assignment of experimentally observed light mesons to particular Regge trajectories is based on their masses and quantum numbers.

Excited heavy tetraquarks with hidden charm

The masses of the excited heavy tetraquarks with hidden charm are calculated within the relativistic diquark–antidiquark picture. The dynamics of the light quark in a heavy–light diquark is treated completely relativistically. The diquark structure is taken into account by calculating the diquark–gluon form factor. New experimental data on charmonium-like states above open charm threshold are discussed. The obtained results indicate that X(3872), Y(4260), Y(4360), Z(4248), Z(4433) and Y(4660) could be tetraquark states with hidden charm.

Heavy quark 1 / m(Q) contributions in semileptonic B decays to orbitally excited D mesons

Exclusive semileptonic decays of B mesons to orbitally excited D mesons are considered beyond the infinitely heavy quark limit in the framework of the relativistic quark model based on the quasipotential approach. This model agrees with the structure of heavy quark mass corrections predicted by the heavy quark effective theory and allows the determination of corresponding leading and subleading Isgur-Wise functions. It is found that both relativistic and 1/m_Q contributions significantly influence the decay rates. Thus, relativistic transformations of the meson wave functions (Wigner rotation of the light quark spin) already contribute at leading order of the heavy quark expansion and result in a suppression of B\to D^{*}_0e\nu and B\to D^{*}_1e\nu decay rates. On the other hand, the vanishing of the decay matrix elements at zero recoil of a final D^{**} meson in the infinitely heavy quark mass limit makes the 1/m_Q corrections to be very important, and their account results in a substantial enhancement of B\to D_1e\nu and B\to D^{*}_0e\nu decay rates.

Relativistic description of exclusive heavy-to-light semileptonic decays B--> pi ( rho )e nu.

The method of calculating electroweak decay matrix elements between heavy-heavy and heavy-light meson states is developed in the framework of relativistic quark model based on the quasipotential approach in quantum field theory. This method is applied for the study of exclusive semileptonic

Rare \(B\rightarrow \pi l\bar{l}\) and \(B\rightarrow \rho l \bar{l}\) decays in the relativistic quark model

B\to\pi(\rho)

Relativistic description of the double charmonium production in e+e− annihilation

decays. It is shown that the large value of the final

Properties of doubly heavy baryons in the relativistic quark model

\pi(\rho)

Rare B s decays in the relativistic quark model

meson recoil momentum allows for the expansion in inverse powers of

Exclusive nonleptonic decays of B mesons

b

Spectroscopy and Regge trajectories of heavy quarkonia in the relativistic quark model

-quark mass of the decay form factors at