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Some of semileptonic and nonleptonic decays of B c meson in a Bethe-Salpeter relativistic quark model

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Abstract

The semileptonic decays \(B_c^ + \to P(V) + \ell ^ + + \bar \nu _\ell \) and the nonleptonic decays B + c → P(V) + L, where P(V) denotes a pseudoscalar (vector) charmonium or \((\bar bs)\)-meson, and L denotes a light meson, are studied in the framework of improved instantaneous Bethe-Salpeter (BS) equation and the Mandelstam formula. The numerical results (width and branching ratio of the decays) are presented in tables, and in order to compare conveniently, those obtained by other approaches are also put in the relevant tables. Based on the fact that the ratio \(\frac{{\mathcal{B}\mathcal{R}(B_c^ + \to \psi (2S)\pi ^ + )}} {{\mathcal{B}\mathcal{R}(B_c^ + \to J/\psi \pi ^ + )}} = 0.24_{ - 0.040}^{ + 0.023} \) estimated here is in good agreement with the observation by LHCb \(\frac{{\mathcal{B}\mathcal{R}(B_c^ + \to \psi (2S)\pi ^ + )}} {{\mathcal{B}\mathcal{R}(B_c^ + \to J/\psi \pi ^ + )}} = 0.250 \pm 0.068(stat) \pm 0.014(syst) \pm 0.006(\mathcal{B}) \), one may conclude that with respect to the decays the present framework works quite well.

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Authors and Affiliations

  1. China Center of Advanced Science and Technology (World Laboratory), Beijing, 100190, China

    ChaoHsi Chang

  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    ChaoHsi Chang

  3. Department of Physics, Tsinghua University, Beijing, 100084, China

    HuiFeng Fu

  4. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    GuoLi Wang

  5. Xiamen Institute of Standardization, Xiamen, 361004, China

    JinMei Zhang

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  1. ChaoHsi Chang
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Correspondence to ChaoHsi Chang.

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Chang, C., Fu, H., Wang, G. et al. Some of semileptonic and nonleptonic decays of B c meson in a Bethe-Salpeter relativistic quark model. Sci. China Phys. Mech. Astron. 58, 1–13 (2015). https://doi.org/10.1007/s11433-015-5671-x

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