In this paper the decay of meson which consists of two b and c heavy quarks, into the D 0 and mesons is studied in two steps. In the first step, the QCD factorization (QCDF) approach is considered in the initial evaluation, the result of calculation is . While the available experimental result for this decay is , by applying the theoretical value of the that span the range of [0.4, 1.2]%, the result for QCDF approach becomes and the branching ratio in the experimental observation is obtained in the range of (3.72 ± 0.24) × 10−5 to (11.16 ± 0.72) × 10−5. Therefore, it is decided to calculate the theoretical branching ratio by applying the final state interaction (FSI) through the T and cross section channels. In this process, before the meson decays into two final state mesons of , it first decays into two intermediate mesons like , then these two mesons transform into two final mesons by exchanging another meson like D 0. The FSI effects are very sensitive to the changes in the phenomenological parameter which appear in the form factor relation. In most calculations, changing two units in this parameter, makes the final result multiplied in the branching ratio, therefor the decision to use FSI is not unexpected. In this study there are nineteen intermediate states in which the contribution of each one is calculated and summed in the final amplitude. Considering , the numerical value of the is from (0.47 ± 0.08) × 10−7 to (13.98 ± 2.08) × 10−7 for which obtained by entering the FSI effects (η = 1 ~ 3). It should be noted that by choosing the value of the η according to the mass of the exchange meson, as η = 3 for exchange meson of (or D) and η = 1 for exchange meson of (or K) the obtained result is , that is in very good agreement with the experimental result.

中文翻译：

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通过分解方法和应用最终状态相互作用的影响评估 ${B}_{c}^{+} \rightarrow {D}^{0}{K}^{+}$ 衰减

本文分两步研究了由两个 b 和 c 重夸克组成的介子衰变到 D 0 和介子的过程。第一步，初始评估考虑QCD分解（QCDF）方法，计算结果为 。虽然这种衰减的可用实验结果是 ，通过应用跨越 [0.4, 1.2]% 范围的理论值，QCDF 方法的结果变为，并且实验观察中的支化率在（ 3.72 ± 0.24) × 10−5 至 (11.16 ± 0.72) × 10−5。因此，决定通过 T 和横截面通道应用最终状态相互作用 (FSI) 来计算理论支化比。在这个过程中，介子在衰变成 的两个终态介子之前，首先衰变成两个中间介子，如 ，然后这两个介子通过交换另一个像 D 0 的介子转化为两个最终的介子。 FSI 效应对出现在形状因子关系中的现象学参数的变化非常敏感。在大多数计算中，改变这个参数的两个单位，使最终结果乘以分支比，因此决定使用 FSI 并不意外。在这项研究中，有 19 个中间状态，其中每个状态的贡献被计算并在最终振幅中求和。考虑到，通过输入 FSI 效应 (η = 1 ~ 3) 获得的数值从 (0.47 ± 0.08) × 10−7 到 (13.98 ± 2.08) × 10−7。需要注意的是，通过根据交换介子的质量选择 η 的值，