Exclusive nonleptonic decays ofBmesons

Abstract

The energetic exclusive two-body nonleptonic decays of B mesons are investigated in the framework of the relativistic quark model within the factorization approximation. The heavy quark expansion is used for the calculation of form factors. The obtained results are in agrement with available experimental data. PACS number(s): 13.25.Hw, 12.39.Ki

Study of the leptonic decays of pseudoscalarB,Dand vectorB*,D*mesons and of the semileptonicAlbertus1, Hernández2, Nieves3 et al. 2005Phys. Rev. D

“…[11] within a non relativistic version, to continue with different versions of the relativistic quark model applied to the determination of decay constants [12,13,14,15,16,17,18,19,20,21], form factors and differential decay widths [19,21,22,23,24,25,26,27], Isgur-Wise functions [21,28,29,30,31,32,33,34] or strong coupling constants [19,32,35,36,37,38] 1 .…”

Charmless weakBsdecays in the relativistic quark model

“…In the discussion we closely follow our previous consideration of nonleptonic decays of B mesons to ground and orbitally excited states of light mesons in the factorization approximation [33,34]. To simplify the problem we limit our analysis to the calculation of the decay processes dominated by the tree diagrams.…”

Erratum: Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model [Phys. Rev. D57, 5663 (1998)]

“…But for r → 0 the Coulomb singularity in V becomes important. Thus, we keep this contribution (up to the first order in the binding energy) in the last term in (12). As a result we find that the Coulomb-like one-gluon potential V Coul (r) = − …”

“…Our relativistic quark model is based on the quasipotential approach in quantum field theory. It has been used for the calculation of heavy quarkonia mass spectrum [10] and electroweak decays of heavy mesons [11,12]. Recent nonperturbative investigations indicate that the confining potential cannot be simply scalar.…”

“…Thus the nonrelativistic approximation is not adequate for the light quark and one cannot guarantee the numerical accuracy of the expansion in inverse powers of the light quark mass. In this paper we use the relativistic quark model [10][11][12] for the calculation of the masses of orbitally and radially excited B and D mesons without employing the expansion in 1/m q . Thus the light quark is treated fully relativistically.…”