Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Properties of the vector meson nonet at large Nc beyond the chiral limit

Stefan Leupold

  • Institut für Theoretische Physik, Universität Giessen, Germany

Phys. Rev. D 73, 085013 – Published 28 April, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.085013

Abstract

Coupling constants of the vector meson nonet are determined in the large-Nc limit, but beyond the chiral limit taking into account terms up to quadratic order in the Goldstone boson masses. With two input parameters five coupling constants for hadronic and dilepton decays are determined which agree very well with the experimental results. The obtained parameters are also used to calculate the pion and kaon decay constant in the large-Nc limit. A consistent picture is only obtained, if the correct assignment of the Nc-dependence of the electromagnetic charges of the quarks is taken into account.

Article Text

References (46)

  1. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).
  2. J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).
  3. M. Creutz, Quarks, Gluons and Lattices, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, United Kingdom, 1983).
  4. L. Giusti, P. Hernandez, M. Laine, P. Weisz, and H. Wittig, J. High Energy Phys. 04 (2004) 013.
  5. G. Amoros, J. Bijnens, and P. Talavera, Nucl. Phys. B602, 87 (2001).
  6. G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989).
  7. G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989).
  8. J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989).
  9. A. Gomez Nicola and J. R. Pelaez, Phys. Rev. D 65, 054009 (2002).
  10. D. Diakonov and V. Y. Petrov, Nucl. Phys. B272, 457 (1986).
  11. D. Espriu, E. de Rafael, and J. Taron, Nucl. Phys. B345, 22 (1990); Nucl. Phys. B355, 278(E) (1991).
  12. C. Schüren, E. Ruiz Arriola, and K. Goeke, Nucl. Phys. A 547, 612 (1992).
  13. J. Müller and S. P. Klevansky, Phys. Rev. C 50, 410 (1994).
  14. A. Pich, Rep. Prog. Phys. 58, 563 (1995).
  15. S. Leupold, Nucl. Phys. A 743, 283 (2004).
  16. S. Peris, M. Perrottet, and E. de Rafael, J. High Energy Phys. 05 (1998) 011.
  17. R. Kaiser and H. Leutwyler, Eur. Phys. J. C 17, 623 (2000).
  18. S. Peris and E. de Rafael, Phys. Lett. B 348, 539 (1995).
  19. G. Ecker, Prog. Part. Nucl. Phys. 35, 1 (1995).
  20. S. Scherer, Adv. Nucl. Phys. 27, 277 (2003).
  21. V. Cirigliano, G. Ecker, H. Neufeld, and A. Pich, J. High Energy Phys. 06 (2003) 012.
  22. I. Rosell, J. J. Sanz-Cillero, and A. Pich, J. High Energy Phys. 08 (2004) 042.
  23. O. Bär and U. J. Wiese, Nucl. Phys. B609, 225 (2001).
  24. A. Abbas, Phys. Lett. B 238, 344 (1990).
  25. R. Shrock, Phys. Rev. D 53, 6465 (1996).
  26. A. Abbas, hep-ph/0009242.
  27. G. ’t Hooft, Nucl. Phys. B72, 461 (1974).
  28. S. Eidelman et al. (Particle Data Group), Phys. Lett. B 592, 1 (2004).
  29. F. Klingl, N. Kaiser, and W. Weise, Z. Phys. A 356, 193 (1996).
  30. K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16, 255 (1966).
  31. Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966).
  32. M. Herrmann, B. L. Friman, and W. Nörenberg, Nucl. Phys. A 560, 411 (1993).
  33. L. v. Dung and T. N. Truong, hep-ph/9607378.
  34. D. Djukanovic, M. R. Schindler, J. Gegelia, G. Japaridze, and S. Scherer, Phys. Rev. Lett. 93, 122002 (2004).
  35. D. Djukanovic, M. R. Schindler, J. Gegelia, and S. Scherer, Phys. Rev. Lett. 95, 012001 (2005).
  36. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968).
  37. B. Borasoy, Eur. Phys. J. C 34, 317 (2004).
  38. B. Borasoy and E. Lipartia, Phys. Rev. D 71, 014027 (2005).
  39. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979).
  40. L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rep. 127, 1 (1985).
  41. J. Bijnens, G. Colangelo, and J. Gasser, Nucl. Phys. B427, 427 (1994).
  42. J. A. Oller, E. Oset, and J. E. Palomar, Phys. Rev. D 63, 114009 (2001).
  43. U. G. Meissner, Phys. Rep. 161, 213 (1988).
  44. M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).
  45. M. Harada and K. Yamawaki, Phys. Rep. 381, 1 (2003).
  46. S. Leupold and M. Post, Nucl. Phys. A 747, 425 (2005).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation