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The $q^2$ dependence of $\\sg(q^2)$ is about the same as $G_E(q^2)$ of the proton so that $\\sg(2m_{\\pi}^2) - \\sg(0) = 6.6 \\pm 0.6$ MeV. The ratio $y= \\ss/\\ud = 0.36 \\pm 0.03$. Both results favor a $\\sg \\sim 53$ MeV, slightly larger than our direct calculation of $\\sg = 49.7 \\pm 2.6$ MeV. 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Laga\\\"e, K.F. Liu, S.J. Dong","submitted_at":"1996-02-08T20:30:12Z","abstract_excerpt":"We report on a lattice QCD calculation of the $\\pi N \\sigma$ term, the scalar form factor, and $\\langle N|\\bar{s}s|N\\rangle$. The disconnected insertion part of $\\sg$ is found to be $1.8 \\pm 0.1$ times larger than the connected insertion contribution. The $q^2$ dependence of $\\sg(q^2)$ is about the same as $G_E(q^2)$ of the proton so that $\\sg(2m_{\\pi}^2) - \\sg(0) = 6.6 \\pm 0.6$ MeV. The ratio $y= \\ss/\\ud = 0.36 \\pm 0.03$. Both results favor a $\\sg \\sim 53$ MeV, slightly larger than our direct calculation of $\\sg = 49.7 \\pm 2.6$ MeV. 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