17,144 research outputs found

    Effect of sea quarks on the single-spin asymmetries ALW±A^{W^{\pm}}_{L} in polarized pp collisions at RHIC

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    We calculate the single-spin asymmetries ALW±A^{W^{\pm}}_{L} of W±W^{\pm} bosons produced in polarized pp collisions with the valence part of the up and down quark helicity distributions modeled by the light-cone quark-spectator-diquark model while the sea part helicity distributions of the up and down quarks treated as parametrization. Comparing our results with those from experimental data at RHIC, we find that the helicity distributions of sea quarks play an important role in the determination of the shapes of ALW±A^{W^{\pm}}_{L}. It is shown that ALW−A^{W^{-}}_{L} is sensitive to Δuˉ\Delta \bar u, while ALW+A^{W^{+}}_{L} to Δdˉ\Delta \bar d intuitively. The experimental data of the polarized structure functions and the sum of helicities are also important to constrain the sizes of quark helicity distributions both for the sea part and the valence part of the nucleon.Comment: 19 latex pages, 5 figures, final version for publicatio

    Rigidity of noncompact complete Bach-flat manifolds

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    Let (M,g)(M,g) be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that (M,g)(M,g) is flat if (M,g)(M, g) has zero scalar curvature and sufficiently small L2L_{2} bound of curvature tensor. When (M,g)(M, g) has nonconstant scalar curvature, we prove that (M,g)(M, g) is conformal to the flat space if (M,g)(M, g) has sufficiently small L2L_2 bound of curvature tensor and L4/3L_{4/3} bound of scalar curvature.Comment: 10 pages, To appear J. Geom. Physic
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