We discuss the search for a 1-- gluonium state, 0, in connection with a possible solution for the so-called ρπ, K*K puzzle in the J/φ and φ' decays. Some issues are examined. In particular, we argue that the expected most favorable process φ → ππO can have an appreciable branching ratio (say 10-3 ~ 10-4) only if the O has a very narrow partial decay width to ρπ (say 1 ~ 10 MeV). For the 0-+ system we deduce a relation that BR(η'c → h) ≈ BR (ηc → h), where h denotes an exclusive light hadronic channel. This relation may be useful for the experimental search of the yet to be confirmed q: state, for which the branching ratios of φ' → η'c → γKKπ, γηππ, γη'ππ are estimated to be about 1 × 10-4 if the mass of η'c is around 3600 MeV, and this relation may also serve as a criterion to determine whether there exist anomalous decays in the ηc and η'c system, in particular in the VV decay channels, which might be related to the 0-+ glueball-charmonium mixing. We emphasize that the bigluonium and the trigluonium may have very different effects on these decays.
Abstract
We discuss the search for a 1-- gluonium state, 0, in connection with a possible solution for the so-called ρπ, K*K puzzle in the J/φ and φ' decays. Some issues are examined. In particular, we argue that the expected most favorable process φ → ππO can have an appreciable branching ratio (say 10-3 ~ 10-4) only if the O has a very narrow partial decay width to ρπ (say 1 ~ 10 MeV). For the 0-+ system we deduce a relation that BR(η'c → h) ≈ BR (ηc → h), where h denotes an exclusive light hadronic channel. This relation may be useful for the experimental search of the yet to be confirmed q: state, for which the branching ratios of φ' → η'c → γKKπ, γηππ, γη'ππ are estimated to be about 1 × 10-4 if the mass of η'c is around 3600 MeV, and this relation may also serve as a criterion to determine whether there exist anomalous decays in the ηc and η'c system, in particular in the VV decay channels, which might be related to the 0-+ glueball-charmonium mixing. We emphasize that the bigluonium and the trigluonium may have very different effects on these decays.
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Wei-Shu Hou and A. Soni, Phys. Rev. D29 (1984)lOl; C. P. Van den Doe1 and D. Horn, Phys. Rev. D35 (1987) 2824; Jue-Ping LIU and Dun-Huan LIU, Chinese Phys. Lett. 7 (1990) 252.
[2] G. S. Bali et al. , Phys. Lett. B309 (1993) 378.
[3] Wei-Shu Hou and A. Soni, Phys. Rzv. Lett. 50 (1983) 569.
[4] S. J. Brodsky, G. P. Lepage, and S. F. Tuan, Phys. Rev. Lett. 59 (1987) 621.
[5] Y. CHEN, Y. F. GU, and P. WANG, in CCAST-WL Workshop Series: Vol. 22, Charm and Tau Physics at BES/BEPC (1) , (1992) p. 95; BES Collaboration, Proceedings of the XVI International Symposium on Lepton-Photon Interactions, Cornell Univ. , August (1993), to be published.
[6] Review of Particle Properties, Phys. Rev. D45, Part 2, June (1992).
[7] S. J. Brodsky and G. P. Lepage, Phys. Rev. D24 (1981) 2848.
[8] This relation was previously given by K. T. CHAO, Y. F. GU, and S. F. TUAN in On the Trigluonia in Charmonium Physics, BIHEP-TH-93-45, PUTP-93-24, December (1993), unpublished; it was also suggested independently by M. Anselmino et al. , see Phys. Rev. D50 (1994) 595.
[9] S. Oneda and M. Slaughter, preprint LA-UR-88-617 (1988).
[10] P. G. O. Freund and Y. Nambu, Phys. Rev. Lett. 34 (1975) 1645.
[11] S. J. Brodsky, Proceedings of the Tau-Charm Factory Workshop, SLAC-Report-343, June (1989),p. 873.
[12] N. Chaichian and N. A. Torngvist, Nucl. Phys. B323 (1989) 75.
[13] S. Pinsky, Phys. Lett. B236 (1990) 479.
[14] M. Anselmino, M. Genovese and E. Predazzi, Phys. Rev. D44 (1991) 1597.
[15] See Eq. (8) of Ref.
[14] . This equation appears to be used only in estimating normal decay of η'c and hence no bearing on postulate of 0+- glueball degenerate with ηc (2980) to account for unwanted (helicity violating) VV and pp decays there.
[16] W. Kwong et al. , Phys. Rev. D37 (1988) 3210.
[17] T. M. YAN, Phys. Rev. D22 (1980) 1652; see also Y. P. KUANG and T. M. YAN, Phys. Rev. D24 (1981) 2847.
[18] Y. B. DING, L. ZHOU, D. H. QIN and K. T. CHAO, High Energy Physics and Nuclear Physics 15 (1991) 584.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
The project supportedin part by National Natural Science Foundation of China, the State Education Commission of China, and the U.S. Department of Energy at Honolulu, DOE contract No. DEAM03-76SF00235
{{custom_fund}}
PDF(491 KB)
