Abstract
An Electron-ion collider in China (EicC) has recently been proposed, for imaging the precise and detailed internal structures of hadrons, understanding the emergent properties of nucleon (such as the nucleon mass and spin) and the emergence of nuclear medium effect, and studying the exotic hadronic states. By exploiting the abundant “pion cloud” around the proton, an experiment of measuring the pion structure is suggested, and it is one of the physics highlights at the EicC facility. In this paper, we present a simulation study of the proposed pion structure experiment. At EicC, the pion structure information is accessed via the leading-neutron tagged deep inelastic scattering—the widely acknowledged Sullivan process of pion exchange with small momentum transfer. We briefly discuss the theoretical framework of our event generator and the current design of the experimental setup for the experiment. We then evaluate the statistical errors of the pion structure function that would be extracted from the proposed measurement under the integrated luminosity of 50 fb\(^{-1}\). The sensitivity and precision to pion parton distribution functions are also demonstrated with a global fit. The precise quark distributions of the pion can be achieved at EicC in the range of \(0.05<x_{\pi }<0.95\), and the pion gluon distribution also can be constrained by the global fit of the pseudo-data at various \(Q^{2}\).
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Acknowledgements
We thank Profs. Craig D. Roberts and Tanja Horn for the fruitful discussions and the constructive questions. We are also very grateful to Dr. Jixie Zhang for his friendly help in the simulation and the cross-checks. This work is partly supported by the Strategic Priority Research Program of Chinese Academy of Sciences under the Grant NO. XDB34030301 and the National Natural Science Foundation of China under the Grant NO. 12005266.
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RW wrote the main manuscript text. RW and GX did the simulation and the data analysis. WX and YL prepared the Figs. 3 and 4. WX, YL and XC gave many valueable suggestions on the physics, the proposal of the experiment, and the analysis of the simulation data. All authors reviewed the manuscript.
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Wang, R., Xie, G., Xiong, W. et al. An Impact Study on the Pion Structure Measurement at EicC. Few-Body Syst 64, 28 (2023). https://doi.org/10.1007/s00601-023-01811-2
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DOI: https://doi.org/10.1007/s00601-023-01811-2