Abstract
The N c dependence of PPPγ vertices, where P is a pseudoscalar meson and N c is the number of colors, is analyzed with allowance for the N c dependence of the quark charges. It is shown that the reactions Kγ → Kπ and π ± γ → π ± η and the decay η → π + π − γ are the best processes for determining N c. The cross section σ(π − γ → π − η) as measured by using the VES facility at IHEP agrees with the value of N c=3.
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References
J. Bell and R. Jackiw, Nuovo Cimento 60, 47 (1969); S. Adler, Phys. Rev. 177, 2426 (1969); W. A. Bardeen, Phys. Rev. 184, 1848 (1969).
J. Wess and B. Zumino, Phys. Lett. B 37B, 95 (1971).
E. Witten, Nucl. Phys. B 223, 422 (1983).
O. Bär and U.-J. Wiese, Nucl. Phys. B 609, 225 (2001); hep-ph/0105258.
C. Itzykson and J. B. Zuber, Introduction to Quantum Field Theory (McGraw-Hill, New York, 1980; Mir, Moscow, 1984); T.-P. Cheng and L.-F. Li, Gauge Theory of Elementary Particle Physics (Clarendon, Oxford, 1984; Mir, Moscow, 1987).
B. R. Holstein, Phys. Rev. D 53, 4099 (1996); E. P. Venugopal and B. R. Holstein, Phys. Rev. D 57, 4397 (1998); A. V. Kiselev and V. A. Petrov, Yad. Fiz. 63, 571 (2000) [Phys. At. Nucl. 63, 499 (2000)].
Y. M. Antipov et al., Phys. Rev. D 36, 21 (1987).
D. V. Amelin et al., Yad. Fiz. 62, 496 (1999) [Phys. At. Nucl. 62, 454 (1999)].
M. Gormley et al., Phys. Rev. D 2, 501 (1970).
J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47, 986 (1981).
R. N. Rogalyov, Yad. Fiz. 64, 72 (2001) [Phys. At. Nucl. 64, 68 (2001)].
M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).
T. Fujiwara et al., Prog. Theor. Phys. 73, 926 (1985).
J. A. M. Vermaseren, Symbolic Manipulation with FORM, Version 2 (CAN, Amsterdam, 1991).
J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 465 (1985).
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Translated from Yadernaya Fizika, Vol. 66, No. 1, 2003, pp. 195–198
Original Russian Text Copyright © 2003 by Rogalyov.
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Rogalyov, R.N. Using a chiral anomaly to determine the number of colors. Phys. Atom. Nuclei 66, 191–194 (2003). https://doi.org/10.1134/1.1540673
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DOI: https://doi.org/10.1134/1.1540673