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Two-photon annihilate contributions in the process $e^+ + e^- \to p +\bar{p}$ including $N$ and $\Delta$ intermediate are discussed in a simplehadronic model. The corrections to the unpolarized cross section and polarizedobservables $P_x,P_z$ are presented. The results show the two-photon annihilatecorrection to unpolarized cross section is small and its angle dependencebecomes weak at small $s$ after considering the $N$ and $\Delta(1232)$contributions simultaneously, while the correction to $P_z$ is enhanced.

$\Delta$ contribution in $e^+ + e^- \to p + \bar{p}$ at small $s$