在$Λ_c\rightarrow\bar{K}^0ηp$ $(πN)$衰变中产生$N^*(1535)$和$N^*(1650)$
Production of $N^*(1535)$ and $N^*(1650)$ in $Λ_c\rightarrow\bar{K}^0ηp$ $(πN)$ decay
摘要：
为了研究$N^*$（1535）和$N^*$（1650）的性质，我们用$MB=πN(I=1/2),ηp$和$KΣ(I=1/2)$计算了$M B$在$Λ_c \rightarrow \bar{K}^0 M B$衰变中的质量分布.我们这样做，通过计算树级和循环的贡献，混合赝标重子和矢量重子通道使用本地隐藏的规范形式主义。使用手征酉方法计算每个通道的环路贡献。我们观察到，对于$ηN$质量分布，只看到$N^*$（1535），$N^*$（1650）对曲线的宽度有贡献，但对于$πN$质量分布，两个共振都清晰可见。在$MB=KΣ$的情况下，我们发现$KΣ$质量分布的强度小于在$Λ_c^+\rightarrow\bar{K}^0πN$和$Λ_c^+\rightarrow\bar{K}^0ηp$过程中$πN$和$ηp$的质量分布的强度，尽管该通道与$N^*(1650)$具有大的耦合。这是因为$Λ_c$衰变的初级产生中$KΣ$对的产生受到抑制。
英文摘要：
In order to study the properties of the $N^*$(1535) and $N^*$(1650) we calculate the mass distributions of $M B$ in the $Λ_c \rightarrow \bar{K}^0 M B$ decay, with $MB=πN(I=1/2),ηp$ and $KΣ(I=1/2)$. We do this by calculating the tree-level and loop contributions, mixing pseudoscalar-baryon and vector-baryon channels using the local hidden gauge formalism. The loop contributions for each channel are calculated using the chiral unitary approach. We observe that for the $ηN$ mass distribution only the $N^*$(1535) is seen, with the $N^*$(1650) contributing to the width of the curve, but for the $πN$ mass distribution both resonances are clearly visible. In the case of $MB=KΣ$, we found that the strength of the $KΣ$ mass distribution is smaller than that of the mass distributions of the $πN$ and $ηp$ in the $Λ_c^+\rightarrow\bar{K}^0πN$ and $Λ_c^+\rightarrow\bar{K}^0ηp$ processes, in spite of this channel having a large coupling to the $N^*(1650)$. This is because the $KΣ$ pair production is suppressed in the primary production from the $Λ_c$ decay.
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