also suggests that the current outer gap model should be modified because @WH11 suggested that most MSPs locate above the pair death line of the outer gap and the multiplicity is larger than unity.

We also calculate the electron/positron spectrum from MSPs with high pair multiplicity. We suggest that if multiplicity of these MSPs is the order of $\sim 10^3$, electrons/positrons from them partially contribute to the observed excess of the total spectrum and the positron fraction.

Acknowledgements {#acknowledgements .unnumbered}
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We thank K. Ioka, K. Kashiyama, T. N. Kato, Y. Kojima, J. Takata and S. J. Tanaka for useful discussions and comments. This work was supported in part by the Grant-in-Aid for Scientific Research from the Japan Society for Promotion of Science (S.K.).

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