arXiv 2202.011672022-02-02hep-ph

排他非轻子Bc介子衰变到S波粲偶素态

Exclusive nonleptonic Bc-meson decays to S-wave charmonium states

Lopamudra Nayak, P. C. Dash, Susmita Kar, N. Barik

DOI：: 10.1103/PhysRevD.105.053007

摘要：

研究了排他的两体非轻子$B_c\to X_{c\bar{c}}M$衰变，其中$X_{c\bar{c}}$是基态（1 S）或径向激发态（2S或3S）的粲偶素，$M$是赝标$(P)$或矢量$(V)$介子.我们考虑了三种衰变：$B_c \to PP, PV, VP$衰变是在基于标量-矢量调和形式的味无关相互作用势的相对论独立夸克（RIQ）模型的框架内进行的。使用因子分解近似，我们计算的弱形状因子从重叠积分的介子波函数中得到的RIQ模型和预测的分支分数为一组排他的非轻子$B_c$ -衰变与其他模型的预测合理的协议。一些感兴趣的衰变被发现有分支分数$\sim (10^{-3}-10^{-4})$内的检测能力，目前的实验，可以精确地测量在LHCb在不久的将来。在LHCb合作组织最近报道的$B_c\to J/ψπ(K)$、$B_c\to J/ψπ(D_s)$、$B_c\to π(J/ψ,ψ(2S))$和$B_c\to J/ψ(π,μν)$的测量之后，我们预测的比率：${\cal R}_{K/π}$、${\cal R}_{D_s/π}$和${\cal R}_{ψ(2S)/{J/ψ}}$与LHCb数据广泛一致，尽管发现我们预测的比率${\cal R}_{π/{μν}}$被低估。结果表明，本方法在RIQ模型框架下对非轻子$B_c$衰变的描述是有效的。

英文摘要：

We study the exclusive two-body nonleptonic $B_c\to X_{c\bar{c}}M$ decays, where $X_{c\bar{c}}$ is either a ground(1S) or a radially excited (2S or 3S) charmonium and $M$ is a pseudoscalar $(P)$ or a vector $(V)$ meson. We consider here three categories of decays: $B_c \to PP, PV, VP$ decays within the framework of relativistic independent quark(RIQ) model based on a flavor-independent interaction potential in scalar-vector harmonic form. Using the factorization approximation, we calculate the weak form factors from the overlapping integrals of meson wave functions obtained in the RIQ model and predict the branching fractions for a set of exclusive nonleptonic $B_c$-decays in reasonable agreement with other model predictions. Some of the decays of interest are found to have branching fractions $\sim (10^{-3}-10^{-4})$ within the detection ability of the current experiments and can be precisely measured at LHCb in near future. In the wake of the recent measurement of $B_c\to J/ψπ(K)$, $B_c\to J/ψπ(D_s)$, $B_c\to π(J/ψ,ψ(2S))$ and $B_c\to J/ψ(π,μν)$ reported by the LHCb Collaborations, we predict the ratios: ${\cal R}_{K/π}$, ${\cal R}_{D_s/π}$ and ${\cal R}_{ψ(2S)/{J/ψ}}$ in broad agreement with the LHCb data though our predicted ratio ${\cal R}_{π/{μν}}$ is found to be underestimated. The results indicate that the present approach works well in the description of exclusive nonleptonic $B_c$-decays within the framework of the RIQ model.

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摘要：

英文摘要：

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