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 ^－－Q Qq qstates and their mixing with Q Qstates are discussed, where Q=c, b; q=u, d, and both Q Qand qq are colour singlets. The mixing is introduced through a coupling, constant. An approximate scaling law for hadronic transitions (Q Q)′→(Q Q)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 Q Qq qstates in which q qis 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

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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^－－QQqqstates and their mixing with QQstates are discussed, where Q=c, b; q=u, d, and both QQand 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 QQqqstates in which qqis 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.