Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential

LUO Zhen-Fei; QIU Xi-Jun

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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(8) : 716-722

Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential

LUO Zhen-Fei ^, ,
QIU Xi-Jun

Institute of Nuclear Research,Academia Sinica,Shanghai 201800

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Abstract：
The Lorentz nature of linear confinement potential of quarkantiquark pair is analyzed in the potential model by using the fine mass splittings of L=1 spin triplets in cc and bb systems.It is found that the linear confinement potential has a mixed nature of the Lorentz scalar and vector (0≤η≤29%,η=0 represents the pure Lonentz scalar).For the tentatively measured χ(1¹P₁) and γ(1¹P₁) meson masses,it is shown that the pure Lorentz scalar of the linear confinement potential is required to obtain the mass of the former meson,while the mixture of 79% Lorentz scalar and 21% Lorentz vector is required to explain the mass of the latter one.

References

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LUO Zhen-Fei and QIU Xi-Jun. Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential[J]. Chinese Physics C, 1992, 16(8): 716-722.

LUO Zhen-Fei and QIU Xi-Jun. Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential[J]. Chinese Physics C, 1992, 16(8): 716-722. 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

Mass Splittings of L=1 States of Quarkonium and Lorentz Structure of Long-rang Confinement Potential

LUO Zhen-Fei ^,
QIU Xi-Jun

Corresponding author: LUO Zhen-Fei,

Institute of Nuclear Research,Academia Sinica,Shanghai 201800

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-08-05

Abstract: The Lorentz nature of linear confinement potential of quarkantiquark pair is analyzed in the potential model by using the fine mass splittings of L=1 spin triplets in cc and bb systems.It is found that the linear confinement potential has a mixed nature of the Lorentz scalar and vector (0≤η≤29%,η=0 represents the pure Lonentz scalar).For the tentatively measured χ(1¹P₁) and γ(1¹P₁) meson masses,it is shown that the pure Lorentz scalar of the linear confinement potential is required to obtain the mass of the former meson,while the mixture of 79% Lorentz scalar and 21% Lorentz vector is required to explain the mass of the latter one.