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Using a chiral anomaly to determine the number of colors

  • Elementary Particles and Fields
  • Theory
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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 and π ± γπ ± η and the decay ηπ + π γ are the best processes for determining N c. The cross section σ(π γπ η) as measured by using the VES facility at IHEP agrees with the value of N c=3.

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References

  1. 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).

    Google Scholar 

  2. J. Wess and B. Zumino, Phys. Lett. B 37B, 95 (1971).

    ADS  MathSciNet  Google Scholar 

  3. E. Witten, Nucl. Phys. B 223, 422 (1983).

    ADS  MathSciNet  Google Scholar 

  4. O. Bär and U.-J. Wiese, Nucl. Phys. B 609, 225 (2001); hep-ph/0105258.

    ADS  Google Scholar 

  5. 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).

    Google Scholar 

  6. 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)].

    Article  ADS  Google Scholar 

  7. Y. M. Antipov et al., Phys. Rev. D 36, 21 (1987).

    Article  ADS  Google Scholar 

  8. D. V. Amelin et al., Yad. Fiz. 62, 496 (1999) [Phys. At. Nucl. 62, 454 (1999)].

    Google Scholar 

  9. M. Gormley et al., Phys. Rev. D 2, 501 (1970).

    Article  ADS  Google Scholar 

  10. J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47, 986 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  11. R. N. Rogalyov, Yad. Fiz. 64, 72 (2001) [Phys. At. Nucl. 64, 68 (2001)].

    Google Scholar 

  12. M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  13. T. Fujiwara et al., Prog. Theor. Phys. 73, 926 (1985).

    Article  ADS  Google Scholar 

  14. J. A. M. Vermaseren, Symbolic Manipulation with FORM, Version 2 (CAN, Amsterdam, 1991).

    Google Scholar 

  15. J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 465 (1985).

    ADS  Google Scholar 

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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

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