论文标题

$ p_ {cs}(4459)$ pentaquark从合并有效的现场理论和现象学角度

The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective

论文作者

Peng, Fang-Zheng, Yan, Mao-Jun, Sánchez, Mario Sánchez, Valderrama, Manuel Pavon

论文摘要

LHCB协作对$ p_ {CS}(4459)$的观察为一组已知的隐藏式charm pentaquarks增加了一个新成员,其中包括$ p_c(4312)$,$ p_c(44440)$和$ p_c(4457)$。 $ p_ {cs}(4459)$预计将具有$λ$ baryon的光夸克内容($ i = 0 $,$ s = -1 $),但其旋转尚不清楚。它与Isospin-Memmetric限制中的$ \ bar {d}^*ξ_c$ threshold- $ 4478 \,{\ rm mev} $ - 表明分子假设是$ p_ {cs}(cs}(4459)$的合理解释。虽然在没有耦合通道动力学的情况下,重夸克旋转对称性预测了$ \ bar {d}^*ξ_c$的两个自旋态,但要计数的论点表明,与附近的$ \ bar {d} em exc'c'$ and $ \ bar的耦合可能是偶然的。这会生成一个超精细的分裂,其中$ j = \ tfrac {3} {2} $ $ \ bar {d}^*ξ_c$ pentaquark比$ j = \ tfrac {1} {1} {2} $配置要轻一些,我们估计,这是$ 5-15} $ 5-15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ s {我们还指出了$ P_ {CS}(4459)$和$ P_C(4440/4457)$势之间的意外对称性。最后,我们认为$ p_ {cs}(4459)$的光谱和$ j/ψλ$衰减可能表明,$ j = \ tfrac {3} {2} {2} $ over $ j = \ j = \ tfrac {1} {1} {2} $。

The observation of the $P_{cs}(4459)$ by the LHCb collaboration adds a new member to the set of known hidden-charm pentaquarks, which includes the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. The $P_{cs}(4459)$ is expected to have the light-quark content of a $Λ$ baryon ($I=0$, $S=-1$), but its spin is unknown. Its closeness to the $\bar{D}^* Ξ_c$ threshold -- $4478\,{\rm MeV}$ in the isospin-symmetric limit -- suggests the molecular hypothesis as a plausible explanation for the $P_{cs}(4459)$. While in the absence of coupled-channel dynamics heavy-quark spin symmetry predicts the two spin-states of the $\bar{D}^* Ξ_c$ to be degenerate, power counting arguments indicate that the coupling with the nearby $\bar{D} Ξ_c'$ and $\bar{D} Ξ_c^*$ channels might be a leading order effect. This generates a hyperfine splitting in which the $J=\tfrac{3}{2}$ $\bar{D}^* Ξ_c$ pentaquark will be lighter than the $J=\tfrac{1}{2}$ configuration, which we estimate to be of the order of $5-15\,{\rm MeV}$. We also point out an accidental symmetry between the $P_{cs}(4459)$ and $P_c(4440/4457)$ potentials. Finally, we argue that the spectroscopy and the $J/ψΛ$ decays of the $P_{cs}(4459)$ might suggest a marginal preference for $J = \tfrac{3}{2}$ over $J = \tfrac{1}{2}$.

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