In this study, we investigate fusion cross sections including halo and weakly-bound nuclei around Coulomb barrier. We reviewed our previous results for the total fusion cross sections of the 6\documentclass[12pt]{minimal}
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\begin{document}$$^{6}$$\end{document}He+ 209\documentclass[12pt]{minimal}
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\begin{document}$${}^{209}$$\end{document}Bi, 11\documentclass[12pt]{minimal}
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\begin{document}$$^{11}$$\end{document}Li+ 208\documentclass[12pt]{minimal}
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\begin{document}$${}^{208}$$\end{document}Pb and 14,15\documentclass[12pt]{minimal}
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\begin{document}$$^{14,15}$$\end{document}C+ 232\documentclass[12pt]{minimal}
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\begin{document}$${}^{232}$$\end{document}Th systems, which involve well-known halo nuclei. Then, to analyze the total fusion reaction of neutron-rich nuclei, 9\documentclass[12pt]{minimal}
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\begin{document}$$^{9}$$\end{document}Li + 70\documentclass[12pt]{minimal}
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\begin{document}$$^{70}$$\end{document}Zn system, we introduced the coupled channel method for a two-neutron transfer in the fusion reaction practically. To study the neutron-rich projectile nucleus of this system (9\documentclass[12pt]{minimal}
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\begin{document}$$^{9}$$\end{document}Li), we constructed a folding potential with projectile and target densities using charge density distribution. Finally, we analyzed the fusion cross section of the 9\documentclass[12pt]{minimal}
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\begin{document}$$^{9}$$\end{document}Li + 70\documentclass[12pt]{minimal}
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\begin{document}$$^{70}$$\end{document}Zn system in one or two channel coupled manners. By adjusting the coupling strength and effective Q-value of the coupling form factor, we successfully reproduced the experimental fusion cross-section data for this system. Our results indicate that the two-neutron transfer channel plays a critical role in the fusion reactions of neutron-rich nuclei, such as 9\documentclass[12pt]{minimal}
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\begin{document}$$^{9}$$\end{document}Li nuclei at energies around the Coulomb barrier.
