Soft pions at high energy and the flavor asymmetry of the light sea quarks in the nucleon

The modified Gottfried sum rule makes clear importance of the high energy region not only in the theoretical meaning but also in the numerical analysis. In this talk, it is shown that the soft pion theorem in the inclusive reaction at high energy can explain the magnitude about $0.02\sim 0.04$ in the NMC deficit. The main contribution comes from the small $x$ region. We also estimate the soft pion contribution to the Ellis-Jaffe sum rule and show it to be negligible. However we find that the contribution to $g_1^{ep}$ becomes positive below $x=0.002$.