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arXiv 2010.09362hep-ph
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双重重子的弱衰变：${\cal B}_{cc}\to {\cal B} D^{(*)}$

Weak Decays of Doubly Heavy Baryons: ${\cal B}_{cc}\to {\cal B} D^{(*)}$

Run-Hui Li, Juan-Juan Hou, Bei He, Ya-Ru Wang

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21 pages, 4 figures, 8 tables; Published version
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摘要：

$Ξ_{cc}^{++}$的发现激发了人们对研究二重重子的新兴趣。本文计算了双粲重子${\cal B}_{cc}$到轻重子${\cal B}$和粲介子$D^{(*)}$（赝标和矢量介子）的弱衰变。在我们之前的工作之后，我们在因子分解假设下计算了短距离贡献，而长距离贡献被建模为用单粒子交换模型计算的终态相互作用。我们发现${\cal B}_{cc}\to {\cal B} D^{*}$衰变的分支比明显更大，因为它们接受了更多偏振态的贡献。在我们研究的衰变中，以下衰变具有最大的分支分数：用$τ_{Ξ_{cc}^{++}}=256$ fs估计的${\cal BR}(Ξ_{cc}^{++}\rightarrowΣ^{+}D^{*+}) \in [0.46\%, 3.33\%]$;用$τ_{Ξ_{cc}^+}=45$ fs估计的${\cal BR}(Ξ_{cc}^{+}\rightarrowΛD^{*+}) \in [0.38\%, 2.63\%]$和${\cal BR}(Ξ_{cc}^{+}\rightarrowΣ^{0} D^{*+}) \in [0.45\%, 3.16\%]$;以及用$τ_{Ω_{cc}^+}=75$ fs估计的${\cal BR}(Ω_{cc}^{+}\rightarrowΞ^{0} D^{*+}) \in [0.27\%, 1.03\%]$、${\cal BR}(Ω_{cc}^{+}\rightarrowΞ^{0} D^{+}) \in [0.07\%, 0.44\%]$和${\cal BR}(Ω_{cc}^{+}\rightarrowΣ^{0} D^{*+}) \in [0.06\%, 0.45\%]$。通过比较纯色公度通道和纯蝴蝶结公度通道的衰减宽度，我们发现蝴蝶结机制在魅力衰减中起着重要的作用。

英文摘要：

The discovery of $Ξ_{cc}^{++}$ has inspired new interest in studying doubly heavy baryons. In this study, the weak decays of a doubly charmed baryon ${\cal B}_{cc}$ to a light baryon ${\cal B}$ and a charm meson $D^{(*)}$ (either a pseudoscalar or a vector one) are calculated. Following our previous work, we calculate the short distance contributions under the factorization hypothesis, whereas the long distance contributions are modeled as the final state interactions which are calculated with the one particle exchange model. We find that the ${\cal B}_{cc}\to {\cal B} D^{*}$ decays' branching ratios are obviously larger, as they receive contributions of more polarization states. Among the decays that we investigate, the following have the largest branching fractions: ${\cal BR}(Ξ_{cc}^{++}\rightarrowΣ^{+}D^{*+}) \in [0.46\%, 3.33\%]$ estimated with $τ_{Ξ_{cc}^{++}}=256$ fs; ${\cal BR}(Ξ_{cc}^{+}\rightarrowΛD^{*+}) \in [0.38\%, 2.63\%]$ and ${\cal BR}(Ξ_{cc}^{+}\rightarrowΣ^{0} D^{*+}) \in [0.45\%, 3.16\%]$ with $τ_{Ξ_{cc}^+}=45$ fs; and ${\cal BR}(Ω_{cc}^{+}\rightarrowΞ^{0} D^{*+}) \in [0.27\%, 1.03\%]$, ${\cal BR}(Ω_{cc}^{+}\rightarrowΞ^{0} D^{+}) \in [0.07\%, 0.44\%]$ and ${\cal BR}(Ω_{cc}^{+}\rightarrowΣ^{0} D^{*+}) \in [0.06\%, 0.45\%]$ with $τ_{Ω_{cc}^+}=75$ fs. By comparing the decay widths of pure color commensurate channels with those of pure bow-tie ones, we find that the bow-tie mechanism plays an important role in charm decays.

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