Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-01-05
Heavy Ion Phys. 9 (1999) 29-48
Physics
High Energy Physics
High Energy Physics - Phenomenology
V. Gribov Memorial Volume, Heavy Physics, Academiai Kiado, Budapest, in press, 20 pages, LaTeX 2e, (file hip-atrc.sty is enclo
Scientific paper
Vacuum correlator of topological charge densities $\chi(q^2)$ at low $q^2$ in QCD is discussed: its value $\chi(0)$ and first derivative $\chi'(0)$ at $q^2=0$ and the contributions of pseudoscalar quasi-Goldstone bosons to $\chi(q^2)$ at low $q^2$. The QCD sum rule \cite{1}, giving the connection of $\chi'(0)$ (for massless quarks) with the part of the proton spin $\Sigma$, carried by $u,d,s$ quarks, is presented. From the requirement of selfconsistancy of the sum rule the values of $\chi'(0)$ and $\Sigma$ were found. The same value of $\chi'(0)$ follows also from the experimental data on $\Sigma$. The contributions of $\pi$ and $\eta$ to $\chi(q^2)$ are calculated basing on low energy theorems. In such calculation the $\pi-\eta$ mixing, expressed in terms of quark mass ratios is of importance.
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