Nonleptonic weak decays ofBtoDsandDmesons

Abstract

Branching ratios and polarization amplitudes for B decaying to all allowed pseudoscalar, vector, axial-vector, scalar and tensor combinations of Ds and D mesons are calculated in the Isgur Scora Grinstein Wise (ISGW) quark model after assuming factorization. We find good agreement with other models in the literature and the limited experimental data and make predictions for as yet unseen decay modes. Lattice QCD results in this area are very limited. We make phenomenological observations on decays in to Ds(2317) and Ds(2460) and propose tests for determining the status and mixings of the axial mesons. We use the same approach to calculate branching ratios and polarization fraction for decays in to two D type mesons.

Analysis of the semileptonic $$B_c\rightarrow D_1^0$$ B c → D 1 0 transition in QCD sum rules and HQET

“…where f D 1 1 = (183 ± 25)MeV , and f D 1 2 = (89 ± 7)MeV [28]. Then using the straight forward calculations, the f…”

“…The masses and decay constant of the D 1 1 and D 1 2 states are presented in Tables I and II. Ref [28] D 1 1( 3 P 1 ) 183 In the heavy quark limit where the quark mass m c → ∞, both axial vector D 0 1 (2420) and D 0 1 (2430) mesons can be produced and identified with |P It is useful to change from the L − S basis 2S+1 L J to the j − j coupling basis L j J , where j is the total angular momentum of the light quark. The relationship between these states are given as [21,28,29]:…”

Color rearrangements inB-meson decays

“…For example, for B → DD s decays we have the simpler pole models [27,28] which later have been refined [29,30] using heavy quark symmetry. Another example is given by [31], which is an extension of the so called Isgur-Scora-Grinstein-Wise model [32] to non-leptonic decays, also assuming factorisation. Typically all of these models are able to describe the branching ratios of the specific decay processes they are studying (see for example [31]) but they cannot be used to predict hidden charm production.…”

“…Another example is given by [31], which is an extension of the so called Isgur-Scora-Grinstein-Wise model [32] to non-leptonic decays, also assuming factorisation. Typically all of these models are able to describe the branching ratios of the specific decay processes they are studying (see for example [31]) but they cannot be used to predict hidden charm production. Finally, there also exists models for B → DDK decays assuming that they proceed via an intermediate DD sJ state [33,34], which however are not so successful at describing data.…”

Rumsfeld hadrons

“…The production of the radially excited D s0 in B decays can be estimated with the ISGW formalism [9]. Since vector and scalar cs states can be produced directly from the W current, the decays B → D * s (2S)D (J) or D s0 (2P )D (J) serve as a viable source excited D s states.…”