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arXiv 1810.01079hep-phhep-ex
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具有SU（3）味对称性的三体粲重子衰变

Three-body charmed baryon Decays with SU(3) flavor symmetry

C. Q. Geng, Y. K. Hsiao, Chia-Wei Liu, Tien-Hsueh Tsai

备注：
14 pages, no figure, revised version accepted by PRD
发表信息：
Phys. Rev. D 99, 073003 (2019)
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摘要：

我们研究了三体反三重态${\bf B_c}\to {\bf B_n}MM'$在$SU(3)$味（$SU(3)_f$）对称性下的衰变，其中${\bf B_c}$表示$(Ξ_c^0,-Ξ_c^+,Λ_c^+)$的粲重子反三重态，${\bf B_n}$和$M(M')$分别表示重子和介子八重态.通过只考虑S波$MM'$对的贡献而不考虑共振效应，${\bf B_c}\to {\bf B_n}MM'$的衰变可以分解为$SU(3)_f$下的11个参数的不可约形式，并利用现有的14个数据进行拟合，得到了一个合理的$χ^2/d.o.f=2.8$值。因此，我们发现由同位旋对称性给出的${\cal A}(Λ_c^+\to n\bar K^0 π^+)-{\cal A}(Λ_c^+\to pK^- π^+)-\sqrt 2 {\cal A}(Λ_c^+\to p\bar K^0 π^0)=0$的三角求和规则在$SU(3)_f$下成立，其中${\cal A}$代表衰变振幅.此外，我们预测，${\cal B}(Λ_c^+\to n π^{+} \bar{K}^{0})=(0.9\pm 0.8)\times 10^{-2}$，这是$3-4$倍小于BESIII观测，表明存在的共振态。对于要观察到的${\bf B_c}\to {\bf B_n}MM'$衰变，我们计算的分支分数与$SU(3)_f$振幅进行比较，在未来的BESIII和LHCb测量。

英文摘要：

We study the three-body anti-triplet ${\bf B_c}\to {\bf B_n}MM'$ decays with the $SU(3)$ flavor ($SU(3)_f$) symmetry, where ${\bf B_c}$ denotes the charmed baryon anti-triplet of $(Ξ_c^0,-Ξ_c^+,Λ_c^+)$, and ${\bf B_n}$ and $M(M')$ represent baryon and meson octets, respectively. By considering only the S-wave $MM'$-pair contributions without resonance effects, the decays of ${\bf B_c}\to {\bf B_n}MM'$ can be decomposed into irreducible forms with 11 parameters under $SU(3)_f$, which are fitted by the 14 existing data, resulting in a reasonable value of $χ^2/d.o.f=2.8$ for the fit. Consequently, we find that the triangle sum rule of ${\cal A}(Λ_c^+\to n\bar K^0 π^+)-{\cal A}(Λ_c^+\to pK^- π^+)-\sqrt 2 {\cal A}(Λ_c^+\to p\bar K^0 π^0)=0$ given by the isospin symmetry holds under $SU(3)_f$, where ${\cal A}$ stands for the decay amplitude. In addition, we predict that ${\cal B}(Λ_c^+\to n π^{+} \bar{K}^{0})=(0.9\pm 0.8)\times 10^{-2}$, which is $3-4$ times smaller than the BESIII observation, indicating the existence of the resonant states. For the to-be-observed ${\bf B_c}\to {\bf B_n}MM'$ decays, we compute the branching fractions with the $SU(3)_f$ amplitudes to be compared to the BESIII and LHCb measurements in the future.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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