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arXiv 1806.02133hep-ph
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手征理论中大$N_c$极限下重子的衰变宽度

Heavy baryon decay widths in the large $N_c$ limit in chiral theory

Michal Praszalowicz

摘要:

我们提出了SU(3)$_{\rm flav}$的“双夸克”表示的大的$N_c$推广,它与正宇称重子有关,包括假定的奇异态。其次,在手征夸克孤子模型的框架下,我们计算了重子的质量和衰变宽度。我们证明了在$N_c \rightarrow \infty$ { \em all}的极限下,衰变宽度为零,包括奇异点的宽度.这个结果实际上比模型本身更一般,因为它只依赖于基本的对称性:即SU(3)$_{\rm flav}$和刺猬对称性。此外,使用明确的模型公式的衰变常数在非实在论的限制,我们表明,有一个层次的衰变耦合,这可以解释观察到的模式的实验宽度。

英文摘要:

We propose large $N_c$ generalizations for the "diquark" representations of SU(3)$_{\rm flav}$ relevant for positive parity heavy baryons, including putative exotic states. Next, within the framework of the Chiral Quark Soliton Model, we calculate heavy baryon masses and decay widths. We show that in the limit of $N_c \rightarrow \infty$ {\em all} decay widths vanish, including the widths of exotica. This result is in fact more general than the model itself, as it relies only on the underlying symmetries: i.e. SU(3)$_{\rm flav}$ and hedgehog symmetry. Furthermore, using explicit model formulae for the decay constants in the non-realtivistic limit, we show that there is a hierarchy of the decay couplings, which may explain observed pattern of experimental widths.

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