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arXiv 1902.06189hep-phhep-ex
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反三重态粲重子衰变的不对称性

Asymmetries of anti-triplet charmed baryon decays

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

备注：
23 pages, 1 figure, revised version accepted by PLB
发表信息：
Phys. Lett. B794 (2019) 19-28
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摘要：

我们利用$SU(3)_F$味对称性和自旋相关振幅分析了${\bf B}_c \to {\bf B}_n M$的衰变过程，其中${\bf B}_c({\bf B}_n)$和$M$分别是反三重态粲重子和九重态介子.在$SU(3)_F$方法中，这是第一次，衰减率和上下不对称性进行了全面和系统的研究，而不忽略${\cal O}(\overline{15})$的颜色反对称部分的贡献，在有效的哈密顿量。我们基于$SU(3)_F$的上下不对称性的结果与文献中的理论值有很大的不同。特别地，我们发现$ α(Λ_c^+\to Ξ^0 K^+)_{SU(3)} = 0.94^{+0.06}_{-0.11}$的上下对称性，这与最近BESIII合作组对$0.77\pm0.78$的实验数据一致，但文献中预测为零.我们还研究了${\bf B}_c \to {\bf B}_n K_S^0$和${\bf B}_c \to {\bf B}_n K_L^0$的衰变与Cabibbo允许和双重Cabibbo抑制跃迁之间的$K_S^0-K_L^0$不对称性。

英文摘要：

We analyze the decay processes of ${\bf B}_c \to {\bf B}_n M$ with the $SU(3)_F$ flavor symmetry and spin-dependent amplitudes, where ${\bf B}_c({\bf B}_n)$ and $M$ are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the $SU(3)_F$ approach, it is the first time that the decay rates and up-down asymmetries are fully and systematically studied without neglecting the ${\cal O}(\overline{15})$ contributions of the color anti-symmetric parts in the effective Hamiltonian. Our results of the up-down asymmetries based on $SU(3)_F$ are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of $ α(Λ_c^+\to Ξ^0 K^+)_{SU(3)} = 0.94^{+0.06}_{-0.11}$, which is consistent with the recent experimental data of $0.77\pm0.78$ by the BESIII Collaboration, but predicted to be zero in the literature. We also examine the $K_S^0-K_L^0$ asymmetries between the decays of ${\bf B}_c \to {\bf B}_n K_S^0$ and ${\bf B}_c \to {\bf B}_n K_L^0$ with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.

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