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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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)
F. Caruso, A.F.S. Santoro, M.H.G. Souza, C.O. Escobar: Phys. Rev.B30, 69 (1984) and reference therein
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)
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)
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 BNL-32855, 1983 (unpublished); BNL-34712 Arizona (1983); T. Armstrong et al.: Nucl.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)
D. Daum et al.: Phys. Lett.B104, 246 (1981); P.S.L. Booth et al.: Nucl. Phys.B242, 51 (1984)
P.G.O. Freund, Y. Nambu: Phys. Rev. Lett.34, 1645 (1975)
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)
K. Ishikawa: Phys. Rev.D20, 731 (1979); J.J. Coyne et al.: Phys. Lett.91B, 259 (1980)
J.L. Rosner: Phys. Rev.D24, 1347 (1981)
S. Minami: Lett. Nuovo Cimento36, 551 (1983)
A. Etkin et al.: Phys. Rev.D25, 1786 (1982); Phys. Rev.D25 2446 (1982); S. Minami: Lett. Nuovo Cimento35, 102 (1982)
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)
T. Barnes: Z. Phys. C—Particles and Fields10, 275 (1981);
J. Cornwall, A. Soni: Phys. Lett.B120, 431 (1983)
D.B. Lichtenberg, W. Namgung, J.G. Wills: Phys. Lett.B113, 267 (1982)
K. Ishikawa et al.: Z. Phys. C — Particles and Fields21, 167 (1983)
V.A. Novikov, M.A. Shifmann, A.I. Vainshtein, V.I. Zakharov: Phys. Lett.B86, 347 (1979); Nucl. Phys.B165, 55 (1980)
M.A. Shifman: Z. Phys. C—Particles and Fields9, 347 (1981); A.I. Vainshtein et al.: Sov. J. Part. Nucl.13, 224 (1982)
N. Aizawa, Z. Maki, I. Umemura, K. Yamamoto: Prog. Theor. Phys.62, 1085 (1979)
ibid63, 962 (1980)
N. Aizawa, Z. Maki, I. Umemura Prog. Theor. Phys.68, 2120 (1982)
Particle Data Group: Rev. Mod. Phys.56, Part II (1984)
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)
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)
M.S. Chanowitz: Rep. LBL-16653, Proc. XIV Int. Symp. on Multiparticle Dynamics at High Energies, Lake Tahoe (1983)
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)
see [13]ibid; [14a]; K. Ishikawa: Phys. Rev. Lett.46, 978 (1981); M. Chanowitz: Phys. Rev. Lett.46, 981 (1981)
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)
D. Hitlin: In 1983 Int. Lepton/Photon Symp. Cornell University, and references therein
F.E. Close: An introduction to quarks and partons. London: Academic Press 1979
H. Fritzsch, P. Minkowski: Nuovo Cimento30, 393 (1975);
A. de Rujula, H. Georgi, S.L. Glashow: Phys. Rev.D12, 147 (1975);
N. Isgur: Phys. Rev.D13, 122 (1976)
H. Fritzsch, J.D. Jackson: Phys. Lett.B66, 365 (1977)
M. Gaillard et al.: Rev. Mod. Phys.47, 277 (1975); H. Harari: Phys. Lett.B 60, 172 (1976)
E. Bloom: Proc. Int. Conf. on High Energy Phys., Paris (1982); D. Burke et al.: Phys. Rev. Lett.49, 632 (1982)
S. Ono, O. Pène: Phys. Lett.B109, 101 (1982)
J.J. Coyne et al.: Phys. Lett.B91, 259 (1980)
D. Scanberger: Talk given at Int. Symp. on lepton and photon interactions at high energies, Bonn (1982)
E. Leader, E. Predazzi: Introduction to gauge theories and the “new physics”. Cambridge: Cambridge Univ. Press 1982
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
P. Jenni et al.: Phys. Rev.D27, 1031 (1983)
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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 theη−η ′−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