$J/ψ$ photoproduction near threshold and signals for the hidden charm pentaquarks

Ming-Xiao Duan, Chang Gong, Lin Qiu, Qiang Zhao
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Abstract

We study the $J/\psi$ photoproduction $\gamma p\to J/\psi p$ near threshold to investigate the role played by the open charm channels and possible signals from the hidden charm $P_c$ pentaquark states. With the diffractive mechanism described by a Pomeron exchange model extrapolated from high energies to the lower energy region, it shows that the differential cross sections compared with the recent results from the GlueX Collaboration have apparent deficits in the large scattering angles. The inclusion of the open charm channels and intermediate $P_c$ states can significantly improve the descriptions of the differential cross section data, in particular, at the energy regions of the $\Lambda_c\bar{D}^{(*)}$ thresholds. This can explain the structures observed by the GlueX Collaboration at the $\Lambda_c\bar{D}^{(*)}$ thresholds as the open charm CUSP effects. Given that these $P_c$ pentaquark states are hadronic molecules dynamically generated by the $\Sigma_c\bar{D}^{(*)}$, we find that the production of these $P_c$ states should be suppressed at leading order since their couplings to both $\gamma p$ and $J/\psi p$ are through loop transitions. This can explain why no obvious signals for the $P_c$ states are observed by the present datasets. In order to further disentangling the role played by $s$-channel mechanisms, we also investigate the polarized beam asymmetry which shows sensitivities to the open charm threshold effects and interferences from the $P_c$ productions. Experimental measurement of this observable at the Jefferson Laboratory is strongly encouraged.
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阈值附近的J/ψ$光生成和隐藏的粲五夸克信号
我们研究了阈值附近的$J/\psi$光生成$\gamma p\to J/\psi p$,以研究开放的粲通道所起的作用以及来自隐藏的粲$P_c$五夸克态的可能信号。用波美子交换模型描述的衍射机制从高能推断到低能区,结果表明,与GlueX合作组最近的结果相比,差分截面在大散射角上有明显的缺陷。加入开放的粲通道和中间的$P_c$态可以显著改善对差分截面数据的描述,特别是在\Lambda_c\bar{D}^{(*)}$阈值的能量区域。这就可以把GlueX合作组织在$\Lambda_cbar{D}^{(*)}$阈值处观测到的结构解释为开放的粲CUSP效应。考虑到这些$P_c$五夸克态是由$\Sigma_c\{D}^{(*)}$动态产生的强子分子,我们发现这些$P_c$态的产生应该在先导阶被抑制,因为它们与$\gamma p$和$J/\psi p$的耦合都是通过环路转换产生的。这可以解释为什么目前的数据集没有观测到$P_c$态的明显信号。为了进一步厘清$s$沟道机制所扮演的角色,我们还研究了偏振波束不对称,它显示出对开放粲阈效应和$P_c$产物干扰的敏感性。我们强烈鼓励在杰斐逊实验室对这一可观测现象进行实验测量。
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