Mass Splitting of <i>L</i>=1 States of Quarkonium and Lorentz Structure of Long-range Confinement Potential

Luo Zhenfei; Qiu Xijun

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(S3) : 313-320

Mass Splitting of L=1 States of Quarkonium and Lorentz Structure of Long-range Confinement Potential

Luo Zhenfei ,
Qiu Xijun

Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai, China

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Abstract：
The Lorentz nature of the linear confinement potential between the quark-antiquark pair is analyzed by using the fine mass splitting data of L=1 spin triplets of the quarkonium. It is found that the linear confinement potential has a mixed nature of the Lorentz scalar and vector (0 ≤ η ≤ 29%, and η=0 represents the pure Lorentz scalar nature). By analyzing tentatively measured χ(1¹P₁) and γ(1¹P₁) masses,it is shown that in the linear confinement potential,a pure Lorentz scaler nature is required for the former meson, while the mixture of 79% Lorentz scalar and 21% Lorentz vector is required for the latter.

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Luo Zhenfei and Qiu Xijun. Mass Splitting of L=1 States of Quarkonium and Lorentz Structure of Long-range Confinement Potential[J]. Chinese Physics C, 1992, 16(S3): 313-320.

Luo Zhenfei and Qiu Xijun. Mass Splitting of L=1 States of Quarkonium and Lorentz Structure of Long-range Confinement Potential[J]. Chinese Physics C, 1992, 16(S3): 313-320. shu

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Received: 1991-07-02

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沈阳化工大学材料科学与工程学院沈阳 110142

Mass Splitting of L=1 States of Quarkonium and Lorentz Structure of Long-range Confinement Potential

Luo Zhenfei
Qiu Xijun

Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai, China

Received Date: 1991-07-02

Abstract: The Lorentz nature of the linear confinement potential between the quark-antiquark pair is analyzed by using the fine mass splitting data of L=1 spin triplets of the quarkonium. It is found that the linear confinement potential has a mixed nature of the Lorentz scalar and vector (0 ≤ η ≤ 29%, and η=0 represents the pure Lorentz scalar nature). By analyzing tentatively measured χ(1¹P₁) and γ(1¹P₁) masses,it is shown that in the linear confinement potential,a pure Lorentz scaler nature is required for the former meson, while the mixture of 79% Lorentz scalar and 21% Lorentz vector is required for the latter.