In-medium pion dispersion relation and medium correction of <inline-formula><tex-math id="M1">\begin{document}${{N \pi \leftrightarrow \Delta}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0657_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0657_M1.png"/></alternatives></inline-formula> near the threshold energy of pion production

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