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Description
We calculate the Sivers function of $\bar{u}$ and $\bar{d}$ quarks using the overlap representation within the light cone formalism. The light-cone wave functions of the proton are obtained in terms of the $|q\bar{q}B\rangle$ Fock states motivated by the meson-baryon fluctuation model. We consider the final-state interaction at the level of one gluon exchange. In a simplified scenario, the Sivers function of $\bar{u}$ and $\bar{d}$ can be expressed as the convolution of the Sivers function of the pion inside the proton and the unpolarized distribution of $\bar{q}$ inside the pion. The model parameters are fixed by fitting the unpolarized sea quark distributions to the known parameterizations. We present the numerical results for $f_{1T}^{\bar{u}/P}(x,\boldsymbol{k}^2_T)$ and $f_{1T}^{\bar{d}/P}(x,\boldsymbol{k}^2_T)$. The first transverse moment of the sea quark Sivers functions in our model are find to be negative and the magnitude is about 0.004 at most.