Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-01-19
Phys.Rev.D57:6590-6593,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 2 figures (eps), RevTex
Scientific paper
10.1103/PhysRevD.57.6590
The part of the proton spin $\Sigma$ carried by $u, d, s$ 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 $u, d, s$ quarks is equal to the derivative of QCD topological susceptibility $\chi^{\prime} (0)$. The comparison with the experimental data on $\Sigma$ gives $\chi^{\prime}(0)= (2.3 \pm 0.6) \times 10^{-3} ~ GeV^2$. The limits on $\Sigma$ and $\chi^{\prime}(0)$ are found from selfconsistency of the sum rule, $\Sigma \ga 0.05,~~ \chi^{\prime} (0) \ga 1.6 \times 10^{-3} ~ GeV^2$. The values of $g_A = 1.37 \pm 0.10$ and $g^8_A = 0.65 \pm 0.15$ are also determined.
Ioffe Lev B.
Oganesian Armen G.
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