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Gluon and\(q\bar q\) mixing in theηη G(≡i(1440))system

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Zeitschrift für Physik C Particles and Fields

Abstract

A mixing scheme among three pseudoscalar mesons η, η′ and τ(1440) is proposed in order to analyze their\(q\bar q\) and gluonic components. Inequalities follow from requiring the consistency of the scheme and the range permitted for the mass of the pure gluonic state (glueball) turns out to be rather small. The resulting picture is in good agreement with the overall phenomenology and with the (rather scarce) data on the subject.

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References

  1. H. Fritzsch, M. Gell-Mann: In Proc. XVI Int. Conf. High Energy Physics, Chicago (1972), eds.: J.D. Jackson, A. Roberts, vol. 2, p. 135. Batavia: NAL 1973; H. Fritzsch, M. Gell-Mann, H. Leutwyler: Phys. Lett.B47, 365 (1973); S. Weinberg: Phys. Rev. Lett.31, 494 (1973); Phys. Rev.D8, 3633 (1973); H. Politzer: Phys. Rev. Lett.30, 1346 (1973)

    Google Scholar 

  2. F. Caruso, A.F.S. Santoro, M.H.G. Souza, C.O. Escobar: Phys. Rev.B30, 69 (1984) and reference therein

    Google Scholar 

  3. H. Fritzsch, P. Minkowski: Nuovo CimentoA30, 393 (1975); P. Roy: Rep. RL-80-007, T. 259 (1980); J.F. Donoghue; In High Energy Physics — 1980 Proc. XXth Int. Conf. Madison, eds. L. Durand, L.G. Pondrom, p. 35. New York: AIP 1981; M.S. Chanowitz: In Proc. 9th SLAC Summer Inst. Particle Physics (1981) ed. A. Mosher, p. 41 (Rep. SLAC-0245, 1982); P.M. Fishbane: In Gauge Theories, Massive Neutrinos and Proton Decay. Proc. Orbis Scientiae (1981) ed. A. Perlmutter New York: Plenum 1981; F.E. Close: Rep. RL-81-066 (1981); RL-82-041/T. 306 (1982); T. Barnes: Rep. RL-82-047/T. 307 (1982); E.D. Bloom: Rep. SLAC-PUB-2976 (1982); R. Zitoun: In Workshop on SPC Fixed-Target Physics in the Years 1984–1989 (1982) ed. L. Mannelli, Vol. II (CERN Yellow Rep. No. 83-02, 1983)

    Google Scholar 

  4. S. Okubo: Phys. Lett.5, 165 (1963); G. Zweig: Rep. CERN-TH-412 (1964); I. Iizuka: Prog. Theor. Phys. Suppl.37–38, 21 (1966); S. Okubo: Phys. Rev.D16, 2336 (1977)

    Google Scholar 

  5. A. Etkin et al.: Phys. Rev. Lett.49, 1620 (1982) and references therein: S.J. Lindenbaum: Rep. BNL-32855, 1983 (unpublished); BNL-34712 Arizona (1983); T. Armstrong et al.: Nucl. Phys.B196, 176 (1982)

    Google Scholar 

  6. D. Daum et al.: Phys. Lett.B104, 246 (1981); P.S.L. Booth et al.: Nucl. Phys.B242, 51 (1984)

    Google Scholar 

  7. P.G.O. Freund, Y. Nambu: Phys. Rev. Lett.34, 1645 (1975)

    Google Scholar 

  8. D. Aschman: In Proc. Second Moriond Workshop, eds. J. Tran Thanh Van, L. Montanet (1982), and references therein; D. Hitlin: In Proc. 1983 Int. Symp. Lepton and Photon Interactions at High Energy, Cornell University, eds. D.G. Cassel, D.L. Kreinick, pp. 746–778 (1983)

  9. K. Ishikawa: Phys. Rev.D20, 731 (1979); J.J. Coyne et al.: Phys. Lett.91B, 259 (1980)

    Google Scholar 

  10. J.L. Rosner: Phys. Rev.D24, 1347 (1981)

    Google Scholar 

  11. S. Minami: Lett. Nuovo Cimento36, 551 (1983)

    Google Scholar 

  12. A. Etkin et al.: Phys. Rev.D25, 1786 (1982); Phys. Rev.D25 2446 (1982); S. Minami: Lett. Nuovo Cimento35, 102 (1982)

    Google Scholar 

  13. R.L. Jaffe, K. Johnson: Phys. Lett.B60, 201 (1976); J.F. Donogue et al.: Phys. Lett.B99, 416 (1981); T. Barnes, F.E. Close, T. Monaghan: Phys. Lett.B110, 159 (1981); C. Carlson, T. Hansson, C. Peterson: Phys. Rev.D27, 1556 (1983) and references therein; M. Chanowitz, S. Sharpe: Nucl. Phys.B222, 211 (1983)

    Google Scholar 

  14. T. Barnes: Z. Phys. C—Particles and Fields10, 275 (1981);

    Google Scholar 

  15. J. Cornwall, A. Soni: Phys. Lett.B120, 431 (1983)

    Google Scholar 

  16. D.B. Lichtenberg, W. Namgung, J.G. Wills: Phys. Lett.B113, 267 (1982)

    Google Scholar 

  17. K. Ishikawa et al.: Z. Phys. C — Particles and Fields21, 167 (1983)

    Google Scholar 

  18. V.A. Novikov, M.A. Shifmann, A.I. Vainshtein, V.I. Zakharov: Phys. Lett.B86, 347 (1979); Nucl. Phys.B165, 55 (1980)

    Google Scholar 

  19. M.A. Shifman: Z. Phys. C—Particles and Fields9, 347 (1981); A.I. Vainshtein et al.: Sov. J. Part. Nucl.13, 224 (1982)

    Google Scholar 

  20. N. Aizawa, Z. Maki, I. Umemura, K. Yamamoto: Prog. Theor. Phys.62, 1085 (1979)

    Google Scholar 

  21. ibid63, 962 (1980)

    Google Scholar 

  22. N. Aizawa, Z. Maki, I. Umemura Prog. Theor. Phys.68, 2120 (1982)

    Google Scholar 

  23. Particle Data Group: Rev. Mod. Phys.56, Part II (1984)

  24. D.L. Scharre et al.: Phys. Lett.B97, 329 (1980); D.L. Scharre: In Proc. 1981 Int. Symp. Lepton and Photon Interactions at High Energy, ed. W. Pfeil, p. 163, and references therein; D. Aschman: In Proc. XVth Renc. Moriond, ed. J. Tran Thanh Van (1980)

    Google Scholar 

  25. M.S. Chanowitz: Rep. LBL-13593, Proc. SLAC Summer Inst. (1981); R. Cahn, M.S. Chanowitz: Phys. Lett.B59, 277 (1975); M.S. Chanowitz; Phys. Rev. Lett.46, 981 (1981)

  26. M.S. Chanowitz: Rep. LBL-16653, Proc. XIV Int. Symp. on Multiparticle Dynamics at High Energies, Lake Tahoe (1983)

  27. E.D. Bloom: Rep. SLAC-PUB-2976 (1982); D.L. Scharre: Rep. SLAC-PUB-2880 (1982); C. Rozenzweig: Rep. COO-3533-227/SU-4217-227 (1982); E.D. Bloom: Proc. 21th Int. Conf. High Energy Physics, pp. c3–407, Paris (1982)

  28. see [13]ibid; [14a]; K. Ishikawa: Phys. Rev. Lett.46, 978 (1981); M. Chanowitz: Phys. Rev. Lett.46, 981 (1981)

    Google Scholar 

  29. H.J. Lipkin: Phys. Lett.B106, 114 (1981); S. Ono, O. Péne: Phys. Lett.B109, 101 (1982); S. Meshkov: Proc. Seventh Intern. Conf. Experimental Meson Spectroscopy (1983) BNL, ed. S.J. Lindenbaum (AIP Conf. proc., Particles and Fields Subseries)

    Google Scholar 

  30. D. Hitlin: In 1983 Int. Lepton/Photon Symp. Cornell University, and references therein

  31. F.E. Close: An introduction to quarks and partons. London: Academic Press 1979

    Google Scholar 

  32. H. Fritzsch, P. Minkowski: Nuovo Cimento30, 393 (1975);

    Google Scholar 

  33. A. de Rujula, H. Georgi, S.L. Glashow: Phys. Rev.D12, 147 (1975);

    Google Scholar 

  34. N. Isgur: Phys. Rev.D13, 122 (1976)

    Google Scholar 

  35. H. Fritzsch, J.D. Jackson: Phys. Lett.B66, 365 (1977)

    Google Scholar 

  36. M. Gaillard et al.: Rev. Mod. Phys.47, 277 (1975); H. Harari: Phys. Lett.B 60, 172 (1976)

    Google Scholar 

  37. E. Bloom: Proc. Int. Conf. on High Energy Phys., Paris (1982); D. Burke et al.: Phys. Rev. Lett.49, 632 (1982)

  38. S. Ono, O. Pène: Phys. Lett.B109, 101 (1982)

    Google Scholar 

  39. J.J. Coyne et al.: Phys. Lett.B91, 259 (1980)

    Google Scholar 

  40. D. Scanberger: Talk given at Int. Symp. on lepton and photon interactions at high energies, Bonn (1982)

  41. E. Leader, E. Predazzi: Introduction to gauge theories and the “new physics”. Cambridge: Cambridge Univ. Press 1982

    Google Scholar 

  42. Mark III Callab. as reported by J. Perrier at the IVth Conference on “Physics in Collision”, Santa Cruz (1984). We thank Prof. R. Cester for pointing out to us this reference

  43. P. Jenni et al.: Phys. Rev.D27, 1031 (1983)

    Google Scholar 

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On leave of absence from the Instituto de Física da Universidade Estadual do Rio de Janeiro, Brazil, Fellow of CNPq

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Caruso, F., Predazzi, E., Antunes, A.C.B. et al. Gluon and\(q\bar q\) mixing in theηη G(≡i(1440))system. Z. Phys. C - Particles and Fields 30, 493–500 (1986). https://doi.org/10.1007/BF01557614

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  • DOI: https://doi.org/10.1007/BF01557614

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