Mixtures of quarkonium and gluonium

Mariana Frank; Patrick J. O’Donnell

doi:10.1103/PhysRevD.32.1739

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Mixtures of quarkonium and gluonium

Mariana Frank and Patrick J. O’Donnell

Department of Physics and Scarborough College, University of Toronto, Toronto, Ontario, Canada M5S 1A7

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Phys. Rev. D 32, 1739 – Published 1 October, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.1739

Abstract

We study the 2γ decays of the light pseudoscalar mesons in a model that allows the isoscalar states to have a significant gluonium component, and show that the rates are in good agreement with experiment. The amount of radial mixing in η,η’ states determines these decays completely. This makes it difficult to test for the presence of gluonium. The radiative decays of ψ’(3685) might be a better way to test for the gluonium admixture. We give estimates for the branching ratios.

References (23)

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P. J. O'Donnell, Rev. Mod. Phys. 53, 673 (1981).
N. Stanton et al., Phys. Rev. Lett. 42B, 246 (1979).
J. F. Donoghue, University of Massachusetts Report No. UMHEP-172, 1982 (unpublished); Report No. UMHEP-157, 1982 (unpublished).
D. L. Scharre et al., Phys. Lett. 97B, 329 (1980); C. Edwards et al., Phys. Rev. Lett. 49, 259 (1982).
D. Hitlin, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1984), p. 746.
For a review see P. Fishbane and S. Meshkov, Comm. Nucl. Part. Phys. XIII, 325 (1984).
T. Barnes and F. Close, Rutherford Laboratory Report No. RAL-84-055, 1984 (unpublished); M. Chanowitz, Report No. LBL-17930, 1984 (unpublished).
H. J. Lipkin and I. Cohen, Phys. Lett. 135B, 215 (1984).
S. Godfrey and N. Isgur, University of Toronto report, 1983 (unpublished).
M. Frank and P. J. O'Donnell, Phys. Lett. 144B, 451 (1984).
R. H. Graham and P. J. O'Donnell, Phys. Rev. D 19, 284 (1979).
M. Frank and P. J. O'Donnell, Phys. Rev. D 29, 921 (1984).
I. Cohen and H. J. Lipkin, Nucl. Phys. B151, 16 (1979).
C. Rosenzweig, A. Salomone and J. Schechter, Phys. Rev. D 24, 2545 (1981).
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TASSO Collaboration, DESY Report No. 84-069, 1984 (unpublished).
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J. F. Donoghue (private communication).
M. E. B. Franklin et al., Phys. Rev. Lett. 51, 963 (1983).
M. Frank, N. Isgur, P. J. O'Donnell, and J. Weinstein, Phys. Lett (to be published).

[c1] N. Isgur, Phys. Rev. D 13, 122 (1976).

[c2] P. J. O'Donnell, Rev. Mod. Phys. 53, 673 (1981).

[c3] N. Stanton et al., Phys. Rev. Lett. 42B, 246 (1979).

[c4] J. F. Donoghue, University of Massachusetts Report No. UMHEP-172, 1982 (unpublished); Report No. UMHEP-157, 1982 (unpublished).

[c5] D. L. Scharre et al., Phys. Lett. 97B, 329 (1980); C. Edwards et al., Phys. Rev. Lett. 49, 259 (1982).

[c6] D. Hitlin, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1984), p. 746.

[c7] For a review see P. Fishbane and S. Meshkov, Comm. Nucl. Part. Phys. XIII, 325 (1984).

[c8] T. Barnes and F. Close, Rutherford Laboratory Report No. RAL-84-055, 1984 (unpublished); M. Chanowitz, Report No. LBL-17930, 1984 (unpublished).

[c9] H. J. Lipkin and I. Cohen, Phys. Lett. 135B, 215 (1984).

[c10] S. Godfrey and N. Isgur, University of Toronto report, 1983 (unpublished).

[c11] M. Frank and P. J. O'Donnell, Phys. Lett. 144B, 451 (1984).

[c12] R. H. Graham and P. J. O'Donnell, Phys. Rev. D 19, 284 (1979).

[c13] M. Frank and P. J. O'Donnell, Phys. Rev. D 29, 921 (1984).

[c14] I. Cohen and H. J. Lipkin, Nucl. Phys. B151, 16 (1979).

[c15] C. Rosenzweig, A. Salomone and J. Schechter, Phys. Rev. D 24, 2545 (1981).

[c16] J. Rosner, Phys. Rev. D 27, 1101 (1983).

[c17] Particle Data Group, Rev. Mod. Phys. 56, S1 (1984).

[c18] A. Weinstein et al., Phys. Rev. D 28, 2896 (1983).

[c19] TASSO Collaboration, DESY Report No. 84-069, 1984 (unpublished).

[c20] M. Althoff et al., Phys. Lett. 121B, 216 (1983).

[c21] J. F. Donoghue (private communication).

[c22] M. E. B. Franklin et al., Phys. Rev. Lett. 51, 963 (1983).

[c23] M. Frank, N. Isgur, P. J. O'Donnell, and J. Weinstein, Phys. Lett (to be published).

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Mixtures of quarkonium and gluonium

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