Tensor Charge of the Nucleon from QCD Sum Rules

  • The nucleon's tensor charges (isovector gvT = δu - δd and isoscalar gsT = δu + δd) are calculated using the QCD (quantum chromodynamics) sum rules in the presence of an external tensor field. By combining the mass sum rule of nucleon, we derive a simplified form for proton tensor charges, which gives gvT = 1.27 and gsT = 1.31, or δu = 1.29 and δd = 0.02 at the scale of nucleon mass, with an uncertainty about 20%.
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