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arXiv 2110.04746hep-phnucl-th
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在$γp\to{}K^{+}P_{cs}(4459)$反应中寻找奇异的五夸克态$P_{cs}(4459)$

Searching for strange hidden-charm pentaquark state $P_{cs}(4459)$ in $γp\to{}K^{+}P_{cs}(4459)$ reaction

Cai Cheng, Feng Yang, Yin Huang

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arXiv admin note: text overlap with arXiv:2107.03773
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摘要：

研究了利用有效拉格朗日方法研究质子靶上的光子诱导反应研究奇异隐魅五夸克态$P_{cs}(4459)$的可能性。产生过程由$t$ -通道$K^{-}$交换、$u$ -通道$Λ$交换、契约项和$s$ -通道核子极描述。我们的理论方法是基于这样的假设，即$P_{cs}(4459)$与$J^{P}=1/2^{-}$或$J^{P}=3/2^{-}$可以被解释为一个分子组成的$\bar{D}^{*}Ξ_c$。利用从$P^{J^{P}}_{cs}(4459)$分子图像得到的$P^{J^P}_{cs}$与$γΛ$和$K^{-}p$通道的耦合常数，计算了过程$γp\to{}P^{J^P}_{cs}K^{+}$的总截面。我们的计算表明，$γp\to{}P^{1/2^{-}}_{cs}K^{+}$和$γp\to{}P^{3/2^{-}}_{cs}K^{+}$的截面分别为10.0 pb和5.0 pb的数量级。另外，我们还将$P_{cs}(4459)$假设为一个紧凑的五夸克态，计算了它的截面，发现它与$\bar{D}^{*}Ξ_c$分子的结果有很大的不同。这些结果可以在未来的实验中测量，例如中国和美国的电子离子对撞机。并可以用来测试$P_{cs}$的性质。

英文摘要：

We investigate the possibility of studying the strange hidden-charm pentaquark state $P_{cs}(4459)$ by photon-induced reactions on a proton target in an effective Lagrangian approach. The production process is described by the $t$-channel $K^{-}$ exchange, the $u$-channel $Λ$ exchange, the contract term, and the $s$- channel nucleon pole. Our theoretical approach is based on the assumption that $P_{cs}(4459)$ with $J^{P}=1/2^{-}$ or $J^{P}=3/2^{-}$ can be interpreted as a molecule composed of $\bar{D}^{*}Ξ_c$. Using the coupling constants of the $P^{J^P}_{cs}$ to $γΛ$ and $K^{-}p$ channels obtained from molecule picture of the $P^{J^{P}}_{cs}(4459)$, the total cross-sections of the process $γp\to{}P^{J^P}_{cs}K^{+}$ is evaluated. Our calculation indicates that the cross-section for $γp\to{}P^{1/2^{-}}_{cs}K^{+}$ and $γp\to{}P^{3/2^{-}}_{cs}K^{+}$ are of the order of 10.0 pb and 5.0 pb, respectively. In addition, we compute the cross-section by assuming $P_{cs}(4459)$ as a compact pentaquark and find it is quite different from the results of $\bar{D}^{*}Ξ_c$ molecule. Those results can be measured in future experiments, such as the Electron-Ion Collider in China and the United States. And can be used to test the nature of the $P_{cs}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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