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- W3109308256 abstract "We study the semileptonic decays of $$B_c$$ meson to S-wave charmonium states in the framework of relativistic independent quark model based on an average flavor-independent confining potential U(r) in the scalar–vector harmonic form $$U(r)=frac{1}{2}(1+gamma ^0)(ar^2+V_0)$$ , where (a, $$V_0$$ ) are the potential parameters. The form factors for $$B_c^+rightarrow eta _c /psi e^+nu _e$$ transitions are studied in the physical kinematic range. Our predicted branching ratios (BR) for transitions to ground-state charmonia are found comparatively large $$sim $$ $$10^{-2}$$ , compared to those for transitions to radially excited 2S and 3S states. Like all other model predictions, our predicted BR are obtained in the hierarchy: BR( $$B_c^+rightarrow eta _c /psi (3S)$$ ) < BR( $$B_c^+rightarrow eta _c/ psi (2S)$$ ) < BR( $$B_c^+rightarrow eta _c /psi (1S)$$ ). The longitudinal ( $$varGamma _L$$ ) and transverse ( $$varGamma _T$$ ) polarization for $$B_c rightarrow psi (ns)$$ decay modes is predicted in the small and large $$q^2$$ -region as well as in the whole physical region. Our predicted polarization ratios: $$frac{varGamma _L}{varGamma _T} < 1$$ for $$B_c^+rightarrow J/psi e^+nu _e$$ and $$B_c^+rightarrow psi (2S)e^+nu _e$$ which means these transitions take place predominantly in transverse mode, whereas for $$B_crightarrow psi (3S)enu _e$$ , $$varGamma _L$$ is comparable with $$varGamma _T$$ in the whole physical region. These theoretical predictions could be tested in the LHCb and the forthcoming Super-B experiments." @default.
- W3109308256 created "2020-12-07" @default.
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- W3109308256 date "2020-11-01" @default.
- W3109308256 modified "2023-10-18" @default.
- W3109308256 title "Semileptonic $$B_c$$ meson decays to S-wave charmonium states" @default.
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- W3109308256 doi "https://doi.org/10.1140/epjp/s13360-020-00898-4" @default.
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