从有效场论看Pc（4457）的峰内峰和可能的双峰结构
Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
摘要：
LHCb五夸克--$P_c(4312)$、$P_c(4440)$和$P_c(4457)$ --理论上被认为是$Σ_c \bar{D}$和$Σ_c \bar{D}^*$ S波分子。在这里，我们探讨的可能性，这两个五夸克-$P_c(4440)$和$P_c(4457)$ -还包含一个$Λ_c(2595) \bar{D}$组件的P波。我们将在两种有效场论中分析这个额外通道的影响：第一种是标准的接触范围有效场论，第二种将包括连接$Σ_c \bar{D}^*$和$Λ_c(2595) \bar{D}$通道的非对角π动力学，它恰好是异常长范围的。$Σ_c \bar{D}^*$和$Λ_c(2595) \bar{D}$组分之间的耦合通道动力学的影响对于$P_c(4440)$和$P_c(4457)$最多是适度的，其将保持主要是$Σ_c \bar{D}^*$分子。然而，如果$P_c(4457)$的量子数为$J^P = \frac{1}{2}^-$，则耦合通道动力学可能诱导$Λ_c(2595) \bar{D}$ S波分子（在P波中与$Σ_c \bar{D}^*$耦合）与$J^P = \frac{1}{2}^+$结合，且质量与$P_c(4457)$相似。如果是这样的话，那么$P_c(4457)$实际上可能是一个包含两个不同五夸克态的双峰。
英文摘要：
The LHCb pentaquarks -- the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ -- have been theorized to be $Σ_c \bar{D}$ and $Σ_c \bar{D}^*$ S-wave molecules. Here we explore the possibility that two of these pentaquarks -- the $P_c(4440)$ and $P_c(4457)$ -- contain in addition a $Λ_c(2595) \bar{D}$ component in P-wave. We will analyze the effects of this extra channel within two effective field theories: the first one will be a standard contact-range effective field theory and the second one will include the non-diagonal pion dynamics connecting the $Σ_c \bar{D}^*$ and $Λ_c(2595) \bar{D}$ channels, which happens to be unusually long-ranged. The impact of the coupled-channel dynamics between the $Σ_c \bar{D}^*$ and $Λ_c(2595) \bar{D}$ components is modest at best for the $P_c(4440)$ and $P_c(4457)$, which will remain to be predominantly $Σ_c \bar{D}^*$ molecules. However, if the quantum numbers of the $P_c(4457)$ are $J^P = \frac{1}{2}^-$, the coupled-channel dynamics is likely to induce the binding of a $Λ_c(2595) \bar{D}$ S-wave molecule (coupled to $Σ_c \bar{D}^*$ in P-wave) with $J^P = \frac{1}{2}^+$ and a mass similar to the $P_c(4457)$. If this is the case, the $P_c(4457)$ could actually be a double peak containing two different pentaquark states.
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