Exclusive weak B decays to excited meson states

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Exclusive semileptonic B decays to radially excited charmed mesons and rare radiative B decay to the orbitally excited tensor K_2^*(1430) meson are investigated in the framework of the relativistic quark model based on the quasipotential approach in quantum field theory. The heavy quark expansion is applied for the semileptonic B\to D^{(*)}'eνdecays. Both relativistic and the 1/m_Q corrections are found to play an important role for these decays and substantially modify results. For rare radiative B -> K_2^*(1430)γdecay such an expansion is not used for the s quark. Instead we apply the expansion in inverse powers of large recoil momentum of final K_2^*(1430) meson. The calculated branching fraction BR(B -> K_2^*(1430)γ)=(1.7\pm 0.6)\times 10^{-5} as well as the ratio BR(B -> K_2^*(1430)γ)/BR(B -> K^*(892)γ)=0.38\pm 0.08 are found to be in a good agreement with recent experimental data from CLEO.
16 pages, revtex4, talks at the Conference on Physics of Fundamental Interactions, Moscow, ITEP, 27 Nov. - 1 Dec. 2000, and at the XVth Workshop on High Energy Physics and Quantum Field Theory, Tver, 14-20 Sept. 2000

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