Glueballs: Charmonium decay and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p¯</mi><mi>p</mi></math></span> annihilation

Wei-Shu Hou

doi:10.1103/PhysRevD.55.6952

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Glueballs: Charmonium decay and $p¯ p$ annihilation

Wei-Shu Hou

Department of Physics, National Taiwan University, Taipei, Taiwan 10764, Republic of China

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Phys. Rev. D 55, 6952 – Published 1 June, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.6952

Abstract

The vector glueball $O$ , made of 3 valence gluons, is expected to be “clean”: it mixes less with quarkonia, but mediates OZI violations. The recent $0^{+ +}$ glueball candidate and the persistence of the $J / ψ, ψ^{'} \to ρ π$ puzzle suggest $m_{O} ≃ m_{J / ψ},$ with mixing angle $\sim 2 °$ – $4 °$ ; hence, $Γ (O \to ρ π$ , $K^{+} K^{-}$ , $e^{+} e^{-}) \sim$ MeV, few keV, few eV. Lower and upper bounds on $Γ_{O}$ can be argued from $e^{+} e^{-} \to ρ π$ energy scan data and the condition $B (O \to ρ π) > B (J / ψ \to ρ π)$ . $O$ dominance may explain the “large” OZI violation in $^{1} S_{0} (p¯ p) \to φ γ$ vs $ω γ$ .

References (30)

R. Landua, presented at the International Conference on High Energy Physics (ICHEP96), Warsaw, Poland, 1996 (unpublished), and references therein.
The spin of $f_{J} (1710)$ is still controversial. See, for example, BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 77, 3959 (1996). I thank Y. C. Zhu for an advance copy.
G. S. Bali et al., Phys. Lett. B 309, 378 (1993).
H. Chen et al., in Lattice ’93, Proceedings of the International Symposium, Dallas, Texas, edited by T. Draper et al. [Nucl. Phys. B (Proc. Suppl.) 34, 357 (1994)].
C. Amsler and F. E. Close, Phys. Lett. B 353, 385 (1995); Phys. Rev. D 53, 295 (1996).
J. Sexton, A. Vaccarino, and D. Weingarten, Phys. Rev. Lett. 75, 4563 (1995).
BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 76, 3502 (1996); J. Li, presented at ICHEP96 (unpublished).
M. B. Çakir and G. R. Farrar, Phys. Rev. D 50, 3268 (1994).
Besides the constituent gluon picture, various arguments (such as lattice; see, e.g., Ref. [3]) suggest that the lowest-lying $1^{- -}$ glueball has more complicated structure compared to $0^{+ +}$ and $2^{+ +}$ counterparts, and hence is heavier and harder to produce.
W. S. Hou and A. Soni, Phys. Rev. Lett. 50, 569 (1983); Phys. Rev. D 29, 101 (1984).
Mark II Collaboration, M. Franklin et al., Phys. Rev. Lett. 51, 963 (1983).
The BES Collaboration, “Charmonium decays to axialvector plus pseudoscalar mesons,” contributed paper to ICHEP96 (unpublished).
Y. F. Gu, presented at the American Physical Society Division of Particles and Fields 1996 Meeting (DPF96), Minneapolis, 1996 (unpublished).
For a recent alternative explanation using final state interactions, see X. Q. Li, D. V. Bugg, and B. S. Zou, Phys. Rev. D 55, 1421 (1997).
BES Collaboration, J. Z. Bai et al., Phys. Rev. D 54, 1221 (1996).
S. J. Brodsky, G. P. Lepage, and S. F. Tuan, Phys. Rev. Lett. 59, 621 (1987).
P. G. O. Freund and Y. Nambu, Phys. Rev. Lett. 34, 1645 (1975).
S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig, CERN Report No. 8419/TH412, 1964 (unpublished); I. Iizuka, Prog. Theor. Phys. Suppl. 37, 21 (1966).
J. M. Cornwall, Phys. Rev. D 26, 1453 (1982).
If the limits of Eq. (2) continue to drop, perhaps one should check whether $f_{O ψ^{'}} {/ f}_{O ψ}$ is also suppressed [10]; i.e., the overlaps $〈 ψ^{'} | O 〉$ and $〈 ψ | O 〉$ should be calculated.
J. M. Cornwall and A. Soni, Phys. Lett. 120B, 431 (1983).
To conform with Eq. (3), the premixed $0^{+ +}$ glueball should lie between 1450 and 1530 MeV. Hence, we prefer $f_{0} (1500)$ over $f_{0} (1720)$ as the scalar glueball. However, uncertainties in the potential model should be no less than the lattice case.
M. Anselmino, M. Genovese, and D. E. Kharzeev, Phys. Rev. D 50, 595 (1994). The two-gluon $0^{- +}$ state, which has mass of order [1] 2200 MeV, is not considered. See also M. Anselmino, M. Genovese, and E. Predazzi, 44, 1597 (1991).
K. T. Chao, Y. F. Gu, and S. F. Tuan, Report No. BIHEP-TH-93-45, 1993 (unpublished); Commun. Theor. Phys. 25, 471 (1996).
The radiative tail could more easily hide an $O$ state above $m_{J / ψ} .$ See Fig. 2 of Ref. [15]
A reanalysis is underway [Y. F. Gu (private communication)], and we await the results.
S. L. Olsen, Int. J. Mod. Phys. A (to be published).
S. J. Brodsky and G. P. Lepage, Phys. Rev. D 24, 2848 (1981).
For discussion on data, as well as for references on other theoretical explanations, see J. Ellis et al., Phys. Lett. B 353, 319 (1995).
Crystal Barrel Collaboration, C. Amsler et al. Phys. Lett. B 346, 363 (1995).

[c1] R. Landua, presented at the International Conference on High Energy Physics (ICHEP96), Warsaw, Poland, 1996 (unpublished), and references therein.

[c2] The spin of $f_{J} (1710)$ is still controversial. See, for example, BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 77, 3959 (1996). I thank Y. C. Zhu for an advance copy.

[c3] G. S. Bali et al., Phys. Lett. B 309, 378 (1993).

[c4] H. Chen et al., in Lattice ’93, Proceedings of the International Symposium, Dallas, Texas, edited by T. Draper et al. [Nucl. Phys. B (Proc. Suppl.) 34, 357 (1994)].

[c5] C. Amsler and F. E. Close, Phys. Lett. B 353, 385 (1995); Phys. Rev. D 53, 295 (1996).

[c6] J. Sexton, A. Vaccarino, and D. Weingarten, Phys. Rev. Lett. 75, 4563 (1995).

[c7] BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 76, 3502 (1996); J. Li, presented at ICHEP96 (unpublished).

[c8] M. B. Çakir and G. R. Farrar, Phys. Rev. D 50, 3268 (1994).

[c9] Besides the constituent gluon picture, various arguments (such as lattice; see, e.g., Ref. [3]) suggest that the lowest-lying $1^{- -}$ glueball has more complicated structure compared to $0^{+ +}$ and $2^{+ +}$ counterparts, and hence is heavier and harder to produce.

[c10] W. S. Hou and A. Soni, Phys. Rev. Lett. 50, 569 (1983); Phys. Rev. D 29, 101 (1984).

[c11] Mark II Collaboration, M. Franklin et al., Phys. Rev. Lett. 51, 963 (1983).

[c12] The BES Collaboration, “Charmonium decays to axialvector plus pseudoscalar mesons,” contributed paper to ICHEP96 (unpublished).

[c13] Y. F. Gu, presented at the American Physical Society Division of Particles and Fields 1996 Meeting (DPF96), Minneapolis, 1996 (unpublished).

[c14] For a recent alternative explanation using final state interactions, see X. Q. Li, D. V. Bugg, and B. S. Zou, Phys. Rev. D 55, 1421 (1997).

[c15] BES Collaboration, J. Z. Bai et al., Phys. Rev. D 54, 1221 (1996).

[c16] S. J. Brodsky, G. P. Lepage, and S. F. Tuan, Phys. Rev. Lett. 59, 621 (1987).

[c17] P. G. O. Freund and Y. Nambu, Phys. Rev. Lett. 34, 1645 (1975).

[c18] S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig, CERN Report No. 8419/TH412, 1964 (unpublished); I. Iizuka, Prog. Theor. Phys. Suppl. 37, 21 (1966).

[c19] J. M. Cornwall, Phys. Rev. D 26, 1453 (1982).

[c20] If the limits of Eq. (2) continue to drop, perhaps one should check whether $f_{O ψ^{'}} {/ f}_{O ψ}$ is also suppressed [10]; i.e., the overlaps $〈 ψ^{'} | O 〉$ and $〈 ψ | O 〉$ should be calculated.

[c21] J. M. Cornwall and A. Soni, Phys. Lett. 120B, 431 (1983).

[c22] To conform with Eq. (3), the premixed $0^{+ +}$ glueball should lie between 1450 and 1530 MeV. Hence, we prefer $f_{0} (1500)$ over $f_{0} (1720)$ as the scalar glueball. However, uncertainties in the potential model should be no less than the lattice case.

[c23] M. Anselmino, M. Genovese, and D. E. Kharzeev, Phys. Rev. D 50, 595 (1994). The two-gluon $0^{- +}$ state, which has mass of order [1] 2200 MeV, is not considered. See also M. Anselmino, M. Genovese, and E. Predazzi, 44, 1597 (1991).

[c24] K. T. Chao, Y. F. Gu, and S. F. Tuan, Report No. BIHEP-TH-93-45, 1993 (unpublished); Commun. Theor. Phys. 25, 471 (1996).

[c25] The radiative tail could more easily hide an $O$ state above $m_{J / ψ} .$ See Fig. 2 of Ref. [15]

[c26] A reanalysis is underway [Y. F. Gu (private communication)], and we await the results.

[c27] S. L. Olsen, Int. J. Mod. Phys. A (to be published).

[c28] S. J. Brodsky and G. P. Lepage, Phys. Rev. D 24, 2848 (1981).

[c29] For discussion on data, as well as for references on other theoretical explanations, see J. Ellis et al., Phys. Lett. B 353, 319 (1995).

[c30] Crystal Barrel Collaboration, C. Amsler et al. Phys. Lett. B 346, 363 (1995).

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Glueballs: Charmonium decay and p¯p annihilation

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Glueballs: Charmonium decay and $p¯ p$ annihilation