English

Proton spin content and QCD topological susceptibility

High Energy Physics - Phenomenology 2009-12-30 v1

Abstract

The part of the proton spin Σ\Sigma carried by u,d,su, d, s quarks is calculated in the framework of the QCD sum rules in the external fields. The operators up to dimension 9 are accounted. An important contribution comes from the operator of dimension 3, which in the limit of massless u,d,su, d, s quarks is equal to the derivative of QCD topological susceptibility χ(0)\chi^{\prime} (0). The comparison with the experimental data on Σ\Sigma gives χ(0)=(2.3±0.6)×103 GeV2\chi^{\prime}(0)= (2.3 \pm 0.6) \times 10^{-3} ~ GeV^2. The limits on Σ\Sigma and χ(0)\chi^{\prime}(0) are found from selfconsistency of the sum rule, Σ\ga0.05,  χ(0)\ga1.6×103 GeV2\Sigma \ga 0.05,~~ \chi^{\prime} (0) \ga 1.6 \times 10^{-3} ~ GeV^2. The values of gA=1.37±0.10g_A = 1.37 \pm 0.10 and gA8=0.65±0.15g^8_A = 0.65 \pm 0.15 are also determined.

Keywords

Cite

@article{arxiv.hep-ph/9801345,
  title  = {Proton spin content and QCD topological susceptibility},
  author = {B. L. Ioffe and A. G. Oganesian},
  journal= {arXiv preprint arXiv:hep-ph/9801345},
  year   = {2009}
}

Comments

8 pages, 2 figures (eps), RevTex

R2 v1 2026-07-22T14:41:53.941Z