Semileptonic and nonleptonic weak decays of and to in the covariant light-front approach

Zhi-Jie Sun; Zhi-Qing Zhang; You-Ya Yang; Hao Yang

doi:10.1140/epjc/s10052-024-12404-6

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 65
https://doi.org/10.1140/epjc/s10052-024-12404-6

Regular Article - Theoretical Physics

Semileptonic and nonleptonic weak decays of $ψ (1 S, 2 S)$ $\psi (1S,2S)$ and $η_{c} (1 S, 2 S)$ $\eta _{c}(1S,2S)$ to $D_{(s)}$ $D_{(s)}$ in the covariant light-front approach

Zhi-Jie Sun, Zhi-Qing Zhang^b, You-Ya Yang and Hao Yang

School of Sciences, Institute of Theoretical Physics, Henan University of Technology, 450052, Zhengzhou, Henan, China

^b zhangzhiqing@haut.edu.cn

Received: 14 November 2023
Accepted: 5 January 2024
Published online: 22 January 2024

Abstract

In addition to the strong and electromagnetic decay modes, the $ψ (1 S, 2 S)$ $\psi (1S,2S)$ and $η_{c} (1 S, 2 S)$ $\eta _{c}(1S,2S)$ can also decay via the weak interaction. Such weak decays can be detected by the high-luminosity heavy-flavor experiments. At present, some of the semileptonic and nonleptonic $J / Ψ$ $J/\Psi$ weak decays have been measured at BESIII. Researching for these charmonium weak decays to $D_{(s)}$ $D_{(s)}$ meson can provide a platform to check of the standard model (SM) and probe new physics (NP). So we investigate the semileptonic and nonleptonic weak decays of $ψ (1 S, 2 S)$ $\psi (1S,2S)$ and $η_{c} (1 S, 2 S)$ $\eta _{c}(1S,2S)$ to $D_{(s)}$ $D_{(s)}$ within the covariant light-front quark model (CLFQM). With form factors of the transitions $ψ (1 S, 2 S) \to D_{(s)}$ $\psi (1S,2S)\rightarrow D_{(s)}$ and $η_{c} (1 S, 2 S) \to D_{(s)}$ $\eta _{c}(1S,2S)\rightarrow D_{(s)}$ calculated under the CLFQM, we predict and discuss some physical observables, such as the branching ratios, the longitudinal polarizations $f_{L}$ $f_{L}$ and the forward–backward asymmetries $A_{FB}$ $A_{FB}$ . One can find that the Cabibbo-favored semi-leptonic decay channels $ψ (1 S, 2 S) \to D_{s}^{-} ℓ^{+} ν_{ℓ}$ $\psi (1\,S,2\,S)\rightarrow D_{s}^{-}\ell ^{+}\nu _{\ell }$ with $ℓ = e, μ$ $\ell =e,\mu$ and the nonleptonic decay modes $ψ (1 S, 2 S) \to D_{s}^{-} ρ^{+}$ $\psi (1S,2S)\rightarrow D_{s}^{-}\rho ^{+}$ have relatively large branching ratios of the order $O (10^{- 9})$ $\mathcal {O}(10^{-9})$ , which are most likely to be accessible at the future high-luminosity experiments.

© The Author(s) 2024

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Semileptonic and nonleptonic weak decays of ψ(1S,2S) and ηc(1S,2S) to D(s) in the covariant light-front approach

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Semileptonic and nonleptonic weak decays of $ψ (1 S, 2 S)$ $\psi (1S,2S)$ and $η_{c} (1 S, 2 S)$ $\eta _{c}(1S,2S)$ to $D_{(s)}$ $D_{(s)}$ in the covariant light-front approach