Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach
Abstract In this work, we investigate the semileptonic decays of $$B_{c}$$ B c meson to $$\eta _{c}(1S,2S,3S)$$ η c ( 1 S , 2 S , 3 S ) , $$\psi (1S,2S,3S)$$ ψ ( 1 S , 2 S , 3 S ) and X(3872) within the framework of covariant light-front quark model (CLFQM). We combine the helicity amplitudes via th...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12034-4 |
| _version_ | 1797247039150489600 |
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| author | Zhi-Jie Sun Si-Yang Wang Zhi-Qing Zhang You-Ya Yang Zi-Yu Zhang |
| author_facet | Zhi-Jie Sun Si-Yang Wang Zhi-Qing Zhang You-Ya Yang Zi-Yu Zhang |
| author_sort | Zhi-Jie Sun |
| collection | DOAJ |
| description | Abstract In this work, we investigate the semileptonic decays of $$B_{c}$$ B c meson to $$\eta _{c}(1S,2S,3S)$$ η c ( 1 S , 2 S , 3 S ) , $$\psi (1S,2S,3S)$$ ψ ( 1 S , 2 S , 3 S ) and X(3872) within the framework of covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $$B_{c}\rightarrow \eta _{c}(1S, 2S, 3S)\ell \nu _{\ell }$$ B c → η c ( 1 S , 2 S , 3 S ) ℓ ν ℓ , $$B_{c}\rightarrow \psi (1S, 2S, 3S))\ell \nu _{\ell }$$ B c → ψ ( 1 S , 2 S , 3 S ) ) ℓ ν ℓ and $$B_{c}\rightarrow X(3872)\ell \nu _{\ell }$$ B c → X ( 3872 ) ℓ ν ℓ , with $$\ell =e,\mu ,\tau $$ ℓ = e , μ , τ . In view of the $$R_{J/\Psi }$$ R J / Ψ anomaly released by the LHCb collaboration, it is necessary to systematically calculate the ratios $$R_X$$ R X with $$X=\psi (1S,2S,3S),\eta _c(1S,2S,3S),X(3872)$$ X = ψ ( 1 S , 2 S , 3 S ) , η c ( 1 S , 2 S , 3 S ) , X ( 3872 ) , which are helpful for checking the lepton flavor universality (LFU). We also take into account another two physical observables, the longitudinal polarization fraction $$f_{L}$$ f L and the forward–backward asymmetry $$A_{FB}$$ A FB , which can provide new clues for understanding the $$R_{J /\Psi }$$ R J / Ψ anomaly. Such theoretical predictions are necessary and interesting, and can be tested in future LHCb experiments. |
| first_indexed | 2024-03-11T16:45:52Z |
| format | Article |
| id | doaj.art-02e1bb498db34802811717937accff4d |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T19:52:21Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-02e1bb498db34802811717937accff4d2024-03-24T12:30:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-10-01831011410.1140/epjc/s10052-023-12034-4Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approachZhi-Jie Sun0Si-Yang Wang1Zhi-Qing Zhang2You-Ya Yang3Zi-Yu Zhang4Institute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal UniversityInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyAbstract In this work, we investigate the semileptonic decays of $$B_{c}$$ B c meson to $$\eta _{c}(1S,2S,3S)$$ η c ( 1 S , 2 S , 3 S ) , $$\psi (1S,2S,3S)$$ ψ ( 1 S , 2 S , 3 S ) and X(3872) within the framework of covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $$B_{c}\rightarrow \eta _{c}(1S, 2S, 3S)\ell \nu _{\ell }$$ B c → η c ( 1 S , 2 S , 3 S ) ℓ ν ℓ , $$B_{c}\rightarrow \psi (1S, 2S, 3S))\ell \nu _{\ell }$$ B c → ψ ( 1 S , 2 S , 3 S ) ) ℓ ν ℓ and $$B_{c}\rightarrow X(3872)\ell \nu _{\ell }$$ B c → X ( 3872 ) ℓ ν ℓ , with $$\ell =e,\mu ,\tau $$ ℓ = e , μ , τ . In view of the $$R_{J/\Psi }$$ R J / Ψ anomaly released by the LHCb collaboration, it is necessary to systematically calculate the ratios $$R_X$$ R X with $$X=\psi (1S,2S,3S),\eta _c(1S,2S,3S),X(3872)$$ X = ψ ( 1 S , 2 S , 3 S ) , η c ( 1 S , 2 S , 3 S ) , X ( 3872 ) , which are helpful for checking the lepton flavor universality (LFU). We also take into account another two physical observables, the longitudinal polarization fraction $$f_{L}$$ f L and the forward–backward asymmetry $$A_{FB}$$ A FB , which can provide new clues for understanding the $$R_{J /\Psi }$$ R J / Ψ anomaly. Such theoretical predictions are necessary and interesting, and can be tested in future LHCb experiments.https://doi.org/10.1140/epjc/s10052-023-12034-4 |
| spellingShingle | Zhi-Jie Sun Si-Yang Wang Zhi-Qing Zhang You-Ya Yang Zi-Yu Zhang Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach European Physical Journal C: Particles and Fields |
| title | Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach |
| title_full | Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach |
| title_fullStr | Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach |
| title_full_unstemmed | Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach |
| title_short | Semileptonic decays $$B_{c}$$ B c meson to S-wave charmonia and X(3872) within the covariant light-front approach |
| title_sort | semileptonic decays b c b c meson to s wave charmonia and x 3872 within the covariant light front approach |
| url | https://doi.org/10.1140/epjc/s10052-023-12034-4 |
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