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Within the extended vector meson dominance model, we investigate the $e^+ e^-\to \Lambda^+_c \bar{\Lambda}^-_c$ reaction and the electromagnetic formfactors of the charmed baryon $\Lambda_c^+$. The model parameters aredetermined by fitting them to the cross sections of the process$e^+e^-\rightarrow \Lambda_c^+ \bar{\Lambda}_c^-$ and the magnetic form factor$|G_M|$ of $\Lambda^+_c$. By considering four charmoniumlike states, called$\psi(4500)$, $\psi(4660)$, $\psi(4790)$, and $\psi(4900)$, we can welldescribe the current data on the $e^+ e^- \to \Lambda^+_c \bar{\Lambda}^-_c$reaction from the reaction threshold up to $4.96 \ \mathrm{GeV}$. In additionto the total cross sections and $|G_M|$, the ratio $|G_E/G_M|$ and effectiveform factor $|G_{\mathrm{eff}}|$ for $\Lambda^+_c$ are also calculated, andfound that these calculations are consistent with the experimental data. Withinthe fitted model parameters, we have also estimated the charge radius of thecharmed $\Lambda_c^+$ baryon.

The $e^+ e^- \to \Lambda^+_c \bar{\Lambda}^-_c$ cross sections and the  $\Lambda_c^+$ electromagnetic form factors within the extended vector meson  dominance model