Tensor Charge of the Nucleon on a Lattice

Abstract

The tensor charge of the nucleon, which will be measured in Drell-Yan processes in polarized proton–proton collisions at the RHIC, is studied in a quenched lattice QCD simulation. On the 16³ × 20 lattice with β = 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. The flavour-singlet tensor charge (δΣ = du + δd + δs) is not suppressed, as opposed to the flavour-singlet axial charge (ΔΣ = Δu + Δd + Δs).