Final State Interaction Analysis and Branching Fraction Calculations of $$\varvec{B^+_c\rightarrow D^+{\bar{D}}^0(D^+D^0)}$$ B c + → D + D ¯ 0 ( D + D 0 ) Decays,Few-Body Systems

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Final State Interaction Analysis and Branching Fraction Calculations of $$\varvec{B^+_c\rightarrow D^+{\bar{D}}^0(D^+D^0)}$$ B c + → D + D ¯ 0 ( D + D 0 ) Decays
Few-Body Systems ( IF 1.6 ) Pub Date : 2021-03-26 , DOI: 10.1007/s00601-021-01604-5
Behnam Mohammadi

The LHC experiments have been measured the branching fractions for $B^+_c$ decays to two pseudoscalar charm mesons by multiplying the production rates for $B^+_c$ relative to $B^+_u$ mesons (in units of $10^{-6}$):

$$\begin{aligned} (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+{\bar{D}}^0)_{EXP}=3.04\pm 2.87,\quad (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+D^0)_{EXP}=1.10\pm 2.02. \end{aligned}$$

We have calculated the branching fractions of these decay modes by using the QCD factorization (QCDF) approach and obtained; ${\mathcal {B}}(B^+_c \rightarrow D^+{\bar{D}}^0)_{QCDF}=(0.28\pm 0.08)\times 10^{-4}$ and ${\mathcal {B}}(B^+_c \rightarrow D^+D^0)_{QCDF}=(0.60\pm 0.17)\times 10^{-6}$. Consider to upper limit of production ratio ($f_c/f_u=0.012$), the QCDF results are 10 and $10^2$ times smaller than experimental results, respectively. The effects of the final state interaction (FSI) have compensated for the smallness of the theoretical results. After entering the effects of FSI, acceptable results have been obtained (in units of $10^{-6}$):

$$\begin{aligned} (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+{\bar{D}}^0)_{FSI}=3.08\pm 0.32,\quad (f_c/f_u){\mathcal {B}}(B^+_c\rightarrow D^+D^0)_{FSI}=0.62\pm 0.07. \end{aligned}$$

中文翻译：

$$ \ varvec {B ^ + _ c \ rightarrow D ^ + {\ bar {D}} ^ 0（D ^ + D ^ 0）} $$ B c +→D + D的最终状态相互作用分析和分支分数计算¯0（D + D 0）衰减

大型强子对撞机实验已通过将\（B ^ + _ c \）相对于\（B ^ + _ u \）介子的生产率乘以（）来测量\（B ^ + _ c \）衰变为两个伪标量魅力介子的分支分数（以\（10 ^ {-6} \）单位）：

$$ \ begin {aligned}（f_c / f_u）{\ mathcal {B}}（B ^ + _ c \ rightarrow D ^ + {\ bar {D}} ^ 0）_ {EXP} = 3.04 \ pm 2.87，\四边形（f_c / f_u）{\数学{B}}（B ^ + _ c \ rightarrow D ^ + D ^ 0）_ {EXP} = 1.10 \ pm 2.02。\ end {aligned} $$

我们已经使用QCD分解（QCDF）方法计算了这些衰变模式的分支分数，并获得了结果。\（{\ mathcal {B}}（B ^ + _ c \ rightarrow D ^ + {\ bar {D}} ^ 0）_ {QCDF} =（0.28 \ pm 0.08）\ times 10 ^ {-4} \）和\（{\ mathcal {B}}（B ^ + _ c \ rightarrow D ^ + D ^ 0）_ {QCDF} =（0.60 \ pm 0.17）×10 ^ {-6} \）。考虑到生产率的上限（\（f_c / f_u = 0.012 \）），QCDF结果分别比实验结果小10倍和\（10 ^ 2 \）。最终状态相互作用（FSI）的影响弥补了理论结果的不足。输入FSI的影响后，已获得可接受的结果（以\（10 ^ {-6} \）为单位）：

$$ \ begin {aligned}（f_c / f_u）{\ mathcal {B}}（B ^ + _ c \ rightarrow D ^ + {\ bar {D}} ^ 0）_ {FSI} = 3.08 \ pm 0.32，\四边形（f_c / f_u）{\数学{B}}（B ^ + _ c \ rightarrow D ^ + D ^ 0）_ {FSI} = 0.62 \ pm 0.07。\ end {aligned} $$

更新日期：2021-03-27

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