QCD Sum Rule Calculation for the Tensor Charge of the Nucleon

Details QCD Sum Rule Calculation for the Tensor Charge of the Nucleon QCD Sum Rule Calculation for the Tensor Charge of the Nucleon

1996-07-23

arxiv.org/abs/hep-ph/9607408v1

Phys.Rev. D54 (1996) 6897-6902

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, latex, to get figures provide FAX number to cohen@mitlns.mit.edu

Scientific paper

10.1103/PhysRevD.54.6897

The nucleon's tensor charges (isovector $g^v_T={\delta}u-{\delta}d$ and isoscalar $g^s_T={\delta}u+{\delta}d$) are calculated using the QCD sum rules in the presence of an external tensor field. In addition to the standard quark and gluon condensates, new condensates described by vacuum susceptibilities are induced by the external field. The latter contributions to $g^v_T$ and $g^s_T$ are estimated to be small. After deriving some simplifying formulas, a detailed sum rule analysis yields $g^v_T=1.29 \pm 0.51$ and $g^s_T = 1.37 \pm 0.55$, or ${\delta}u=1.33 \pm 0.53$ and ${\delta}d = 0.04 \pm 0.02$ at the scale of 1 GeV$^2$.

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