Tensor Charge of the Nucleon on the Lattice

Abstract

Tensor charge of the nucleon, which will be measured in Drell-Yan processes in polarized proton-proton collisions at RHIC, are studied in quenched lattice QCD simulation. On the 16${}^3\times$ 20 lattice with $\beta =5.7$, connected parts of the tensor charge are determined with small statistical error, while the disconnected parts are found to be small with relatively large error bars. Flavor-singlet tensor charge ($\delta \Sigma =\delta u+\delta d+\delta s$) is not suppressed as opposed to the flavor singlet axial charge ($\Delta \Sigma =\Delta u+\Delta d+\Delta s$).

Comments: 9 pages, LaTeX, 2 ps figures. Invited talks at the Australia-Japan workshop on Quarks, Hadrons and Nuclei (Nov. 15-24, 1995, Adelaide, Australia) and at RIKEN International Symposium on Spin Structure of the Nucleon, (Dec. 18-19, 1995, RIKEN, Japan)