1<SUP>－－</SUP>QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(3) : 316-322

1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da ^,

Physics Department, Peking University

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Abstract：
In the framework of the MIT bag model and under Born-Oppenheimer approximation, the 1^－－QQqq states and their mixing with QQ states are discussed, where Q=c, b; q=u, d, and both QQ and qq are colour singlets. The mixing is introduced through a coupling, constant. An approximate scaling law for hadronic transitions (QQ)′→(QQ)ππ could be obtained and the ratio of Γ(ψ′→4ππ) to Γ(Υ′→Υππ) could be compatible with the data if the coupling constant is flavour-independent. The mixing is dominated by QQqq states in which qq is a P-wave 0⁺⁺ state and therefore the observed isotropic angular distribution of the pion in ψ′→ψππ and γ′→γππ can be well explained.

References

[1]

R. L. Jaffe, F. E. Low, Phys. Rev., D19(1979), 2105.[2] 赵光达, Nucl. Phys., B183(1981). 435.[3] 赵光达, Nucl. Phys., B169(1980), 281; 赵光达, S. F. Tuan, 广州粒子物理理论讨会文集 (980),426.[4] T. DeGrand et al., Phys. Rev., D12(1975), 2060.[5] T. A De Grand, R. L. Jaffe, Ann. Phys., 100(1976), 425.[6] E. V. Shuryak, Phys. Lett., 93B(198D), 134.[7] E. Eichten et al. Phys. Rev., D210980), 203.[8] F. C. Porter, SLAG-PUB-2895 (1982).[9] J. J. Cope et al., Phys. Lett., 91B(198O), 259.[10] D Andrem et al., Phys. Rev. Lett., 50(1983), 807.[11] K. Gottfried, Phys. Rev. Lett., 40(1978), 598; T. M. Pan, Phys. Rev., D22(1980).1652; Y.P. Kuang, T.M. Yan, Phys. Rev., D24(1981), 2874.[12] R. Barbieri et al., Phys. Lett., 60B(1976), 183.[13] G. S. Abrams et al., Phys. Rev. Lett., 33(1974), 1453; ibid., 34(1975), 118.[14] L. S. Brown, R. N. Cahn, Phys. Rev. Lett., 35(1975), 1.

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ZHAO Guang-Da. 1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS[J]. Chinese Physics C, 1984, 8(3): 316-322.

ZHAO Guang-Da. 1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS[J]. Chinese Physics C, 1984, 8(3): 316-322. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS

ZHAO Guang-Da ^,

Corresponding author: ZHAO Guang-Da,

Physics Department, Peking University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: In the framework of the MIT bag model and under Born-Oppenheimer approximation, the 1^－－QQqq states and their mixing with QQ states are discussed, where Q=c, b; q=u, d, and both QQ and qq are colour singlets. The mixing is introduced through a coupling, constant. An approximate scaling law for hadronic transitions (QQ)′→(QQ)ππ could be obtained and the ratio of Γ(ψ′→4ππ) to Γ(Υ′→Υππ) could be compatible with the data if the coupling constant is flavour-independent. The mixing is dominated by QQqq states in which qq is a P-wave 0⁺⁺ state and therefore the observed isotropic angular distribution of the pion in ψ′→ψππ and γ′→γππ can be well explained.