The Uses of Chiral Anomaly for Determination of the Number of Colors

Details The Uses of Chiral Anomaly for Determination of the Number of Colors The Uses of Chiral Anomaly for Determination of the Number of Colors

2002-02-06

arxiv.org/abs/hep-ph/0202046v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 1 figure; accepted to Phys. Atom. Nucl., references added

Scientific paper

10.1134/1.1540673

The $N_c$-dependence of the vertices $PPP\gamma$, where $P$ is a pseudoscalar meson and $N_c$ is the number of colors, is analyzed with regard for the $N_c$-dependence of the quark charges. It is shown that the best processes for the determination of $N_c$ are the reactions $K\gamma \to K\pi$ and $\pi^pm\gamma\to\pi^\pm\eta$ as well as the decay $\eta\ra\pi^+\pi^-\gamma$. The measurement of the cross section $\sigma(\pi^-\gamma\ra\pi^-\eta)$ at the VES facility at the IHEP agrees with the value $N_c=3$.

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