Tensor Charge of the Nucleon in Lattice QCD

Details Tensor Charge of the Nucleon in Lattice QCD Tensor Charge of the Nucleon in Lattice QCD

1996-08-22

arxiv.org/abs/hep-lat/9608115v1

Phys.Rev. D56 (1997) 433-436

Physics

High Energy Physics

High Energy Physics - Lattice

RevTeX 11 pages, 2 ps figures

Scientific paper

10.1103/PhysRevD.56.433

First results of lattice QCD simulation on the nucleon tensor-charge $\delta q$ are presented. From the quenched QCD simulations with the Wilson quark action at $\beta = 5.7$ on a 16$^3\times$ 20 lattice and on a $12^3\times 20$ lattice, we find (i) the connected part $\delta q_{con.}$ is determined with small statistical error, (ii) the disconnected part $\delta q_{dis.}$, which violates the OZI rule, is consistent with zero, and (iii) the flavor-singlet tensor charge $ \delta \Sigma (\mu^2 = 2 {\rm GeV}^2) = \delta u + \delta d + \delta s$ takes 0.562(88) at $\beta=5.7$, which is in contrast with the flavor-singlet axial charge $\Delta \Sigma = 0.1-0.3$.

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