• DOI:10.1103/PhysRevD.56.433
• Corpus ID: 13504531

Tensor charge of the nucleon in lattice QCD

@article{Aoki1997TensorCO,
  title={Tensor charge of the nucleon in lattice QCD},
  author={Sinya Aoki and M. Doui and Tetsuo Hatsuda and Yoshinobu Kuramashi},
  journal={Physical Review D},
  year={1997},
  volume={56},
  pages={433-436}
}

• S. Aoki, M. Doui, +1 author Y. Kuramashi
• Published 22 August 1996
• Materials Science, Mathematics
• Physical Review D

The first results of lattice QCD simulations on the nucleon tensor charge $\ensuremath{\delta}q$ are presented. From the quenched QCD simulations with the Wilson quark action at $\ensuremath{\beta}=5.7$ (the lattice spacing $a\ensuremath{\simeq}0.14$ fm) on a 16${}^{3}\ifmmode\times\else\texttimes\fi{}$20 lattice and on a ${12}^{3}\ifmmode\times\else\texttimes\fi{}20$ lattice, we find (i) the connected part $\ensuremath{\delta}{q}_{\mathrm{con}}$ is determined with small statistical error, (ii) the disconnected part $\ensuremath{\delta}{q}_{\mathrm{dis}},$ which violates the OZI rule, is consistent with zero, and (iii) the flavor-singlet tensor charge $\ensuremath{\delta}\ensuremath{\Sigma}({\ensuremath{\mu}}^{2}=2$ ${\mathrm{GeV}}^{2})=\ensuremath{\delta}u+\ensuremath{\delta}d+\ensuremath{\delta}s$ takes 0.562(88) in the quenched simulation at $\ensuremath{\beta}=5.7$ on a ${16}^{3}\ifmmode\times\else\texttimes\fi{}20$ lattice.