\begin{document}${1/ 2}$\end{document} or spin-\begin{document}$ 0 $\end{document} electron) hits a static massive composite target particle carrying various spins (up to spin-\begin{document}$ 2 $\end{document}), and one where a slowly-moving light projectile hits a heavy static composite target. For the first type, the unpolarized cross sections in the laboratory frame are found to exhibit universal forms in the first two orders of \begin{document}$ 1/M $\end{document} expansion yet differ at the next-to-next-to-leading order (though some terms at this order still remain universal or depend on the target spin in a definite manner). For the second type, at the lowest order in electron velocity expansion, through all orders in \begin{document}$ 1/M $\end{document}, the unpolarized cross section is universal (also not sensitive to the projectile spin). The universality partially breaks down at relative order-\begin{document}$ v^2/M^2 $\end{document}, though some terms at this order are still universal or depend on the target spin in a specific manner. We also employ the effective field theory approach to reproduce the soft behavior of the differential cross sections for when the target particle is a composite spin-\begin{document}${1/ 2}$\end{document} fermion."> Soft pattern of Rutherford scattering from heavy target mass expansion -
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