Charge-changing cross section measurements of 300 MeV/nucleon $^{28}$Si on carbon and data analysis
Chang-Jian Wang, Ge Guo, Hooi Jin Ong, Yu-Nan Song and, Bao-Hua Sun, Isao Tanihata, Satoru Terashima, Xiu-Lin Wei and, Jun-Yao Xu, Xiao-Dong Xu, Ji-Chao Zhang, Yong Zheng, Li-Hua Zhu, and Yong Cao, Guang-Shuai Li, Chen-Gui Lu, Hao-Tian Qi, Yun Qin, and Zhi-Yu Sun, Lu-Ping Wan

TL;DR
This paper reports a new charge-changing cross section measurement of 304 MeV/nucleon $^{28}$Si on carbon, detailing the data analysis process to evaluate systematic uncertainties, and confirms consistency with existing data at similar energies.
Contribution
It introduces a detailed data analysis procedure for charge-changing cross section measurements, improving accuracy and serving as a reference at RIBLL2.
Findings
Measured $\sigma_{ ext{cc}}$ of 1125(11) mb for $^{28}$Si on carbon.
The data analysis procedure effectively evaluates systematic uncertainties.
Results are consistent with existing data at similar energies.
Abstract
Charge-changing cross section () measurements via the transmission method have made important progress recently aiming to determine the charge radii of exotic nuclei. In this work, we report a new measurement of 304(9) MeV/nucleon Si on carbon at the second Radioactive Ion Beam Line in Lanzhou (RIBLL2) and describe the data analysis procedure in detail. This procedure is essential to evaluate the systematic uncertainty in the transmission method. The determined of 1125(11) mb is found to be consistent with the existing data at similar energies. The present work will serve as a reference in the determinations at RIBLL2.
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