Angular Distribution of Processes e+e-→τ+τ-,τ-→a1-υτ,a1-→ρπ and Characteristics of a1 Meson

Yu Hong; Shen Qixing; Zhang Lin

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(S2) : 141-150

Angular Distribution of Processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ and Characteristics of a₁ Meson

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

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Abstract：
The density matrix and the helicity formalism of the angular distribution of the processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ are obtained. The helicity amplitude ratios corresponding to the form factors of the W-a₁ transition and the strong interaction vertex a₁ρπ can be determined by the sectionalized fitting method. Then a model-independent method is given for precisely determining the mass and the width of the very broad resonance a₁.
- wide resonance ,
- form factor ,
- helicity amplitude ratio ,
- density matrix

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Yu Hong, Shen Qixing and Zhang Lin. Angular Distribution of Processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ and Characteristics of a₁ Meson[J]. Chinese Physics C, 1994, 18(S2): 141-150.

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Received: 1993-05-04

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Supported by the National Natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

Angular Distribution of Processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ and Characteristics of a₁ Meson

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

Received Date: 1993-05-04

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: The density matrix and the helicity formalism of the angular distribution of the processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ are obtained. The helicity amplitude ratios corresponding to the form factors of the W-a₁ transition and the strong interaction vertex a₁ρπ can be determined by the sectionalized fitting method. Then a model-independent method is given for precisely determining the mass and the width of the very broad resonance a₁.