\begin{document}$ e^+ e^-\to \Lambda_c^+ \bar{\Lambda}_c^- $\end{document} close to the threshold are calculated within the vector meson dominance model. It is found that the theoretical results can describe the current experimental measurements. The nontrivial near-threshold energy dependence of the total cross sections of the process \begin{document}$ e^+ e^-\to \Lambda_c^+ \bar{\Lambda}_c^- $\end{document} can be well reproduced by considering the contributions from charmonium-like states and the Coulomb factor. In particular, the results for the angular distribution parameters about the differential cross section are consistent with the experiments from the BESIII Collaboration. In addition, the relative phase \begin{document}$ \Delta \Phi $\end{document} of the electromagnetic form factors is given, and the spin polarization of \begin{document}$ \Lambda_c^+ $\end{document} is predicted at center-mass energy \begin{document}$ 4.7 \ \rm GeV $\end{document}. It is hopeful that this work will provide a new perspective on the characteristics of the charmed baryon \begin{document}$ \Lambda_c^+ $\end{document}."> The electromagnetic form factors and spin polarization of <inline-formula><tex-math id="Z-20241213103804">\begin{document}${\boldsymbol\Lambda _{\boldsymbol c}^{\bf +}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/f99ca78f-2c30-4c29-ade0-f9aa2ef76dab/CPC-2024-0619_Z-20241213103804.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/f99ca78f-2c30-4c29-ade0-f9aa2ef76dab/CPC-2024-0619_Z-20241213103804.png"/></alternatives></inline-formula> in the process <inline-formula><tex-math id="Z-20241213095838">\begin{document}${{\boldsymbol e}^{\bf +}{\boldsymbol e}^{\bf -}\bf\to {\boldsymbol\Lambda}_{\boldsymbol c}^{\bf +} \bar{\boldsymbol\Lambda}_{\boldsymbol c}^{\bf -}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/f99ca78f-2c30-4c29-ade0-f9aa2ef76dab/CPC-2024-0619_Z-20241213095838.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/f99ca78f-2c30-4c29-ade0-f9aa2ef76dab/CPC-2024-0619_Z-20241213095838.png"/></alternatives></inline-formula> -
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