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Based on this molecule picture, we establish the Bethe-Salpeter equations for $\\Xi(1620)$ in the ladder and instantaneous approximations. We solve the Bethe-Salpeter equations for the $\\Lambda\\bar{K}$ and $\\Sigma\\bar{K}$ systems numerically and find that the $\\Xi(1620)$ can be explained as $\\Lambda\\bar{K}$ and $\\Sigma\\bar{K}$ bound states with $J^P=1/2^-$, respectively. 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