\begin{document}$ \sigma_{\text{cc}} $\end{document}) measurements via the transmission method have recently seen significant progress with the aim of determining the charge radii of exotic nuclei. In this work, we report a new \begin{document}$ \sigma_{\text{cc}} $\end{document} measurement of 304(9) MeV/nucleon \begin{document}$ ^{28} $\end{document}Si on carbon at the second Radioactive Ion Beam Line in Lanzhou (RIBLL2) and describe the data analysis procedure in detail. This procedure is essential for evaluating the systematic uncertainty in the transmission method. The determined \begin{document}$ \sigma_{\mathrm{cc}} $\end{document} of 1125(11) mb is found to be consistent with the existing data at similar energies. The present work will serve as a reference for \begin{document}$ \sigma_{\text{cc}} $\end{document} determinations at RIBLL2."> Charge-changing cross section measurements of 300 MeV/nucleon <sup>28</sup>Si on carbon and data analysis -
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