Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD

The Ω baryons with JP= 3/2^±, 1/2^± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M3/2＋〈 M3/2- 0≈M1/2-〈 M1/2＋, as is expected from the constituent quark model. The mass values are also close to those of the four Ωstates observed in experiments. We calcula...

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Published inChinese physics C Vol. 40; no. 4; pp. 1 - 7
Main Author 梁剑 孙玮 陈莹 邱伟峰 宫明 刘川 刘玉斌 刘朝峰 马建平 张剑波
Format Journal Article
LanguageEnglish
Published 01.04.2016
Subjects
Amplitudes
Approximation
Baryons
Lattices
Mathematical analysis
Mathematical models
Quark models
Quenching (cooling)
价值观
多重态
夸克模型
实验观察
振幅
格点QCD
模型描述
重子
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ISSN1674-1137
0254-3052
DOI10.1088/1674-1137/40/4/041001

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Summary:The Ω baryons with JP= 3/2^±, 1/2^± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M3/2＋〈 M3/2- 0≈M1/2-〈 M1/2＋, as is expected from the constituent quark model. The mass values are also close to those of the four Ωstates observed in experiments. We calculate the Bethe-Salpeter amplitudes of Ω（3/2^＋） and Ω（1/2^＋） and find there is a radial node for the Ω（1/2＋） Bethe-Salpeter amplitude, which may imply that Ω（1/2＋） is an orbital excitation of Ω baryons as a member of the（D, LN^P） =（70, 02^＋） supermultiplet in the SU（6）×O（3） quark model description. Our results are helpful for identifying the quantum numbers of experimentally observed Ω states.
Bibliography:Ω baryon, excited state, BS amplitude
11-5641/O4
Jian Liang, Ming Gong, Wei Sun,Chuan Liu,Ying Chen, Yu-Bin Liu, Wei-Feng Qiu, Zhao-Feng Liu,Jian-Ping Ma, Jian-Bo Zhang（ 1 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China ;2 Theoretical Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China ; 3 School of Physics, Peking University, Beijing 100871, China ; 4 School of Physics, Nankai University, Tianjin 300071, China; 5 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China ; 6 Department of Physics, Zhejiang University, Hangzhou 310027, China）
The Ω baryons with JP= 3/2^±, 1/2^± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M3/2＋〈 M3/2- 0≈M1/2-〈 M1/2＋, as is expected from the constituent quark model. The mass values are also close to those of the four Ωstates observed in experiments. We calculate the Bethe-Salpeter amplitudes of Ω（3/2^＋） and Ω（1/2^＋） and find there is a radial node for the Ω（1/2＋） Bethe-Salpeter amplitude, which may imply that Ω（1/2＋） is an orbital excitation of Ω baryons as a member of the（D, LN^P） =（70, 02^＋） supermultiplet in the SU（6）×O（3） quark model description. Our results are helpful for identifying the quantum numbers of experimentally observed Ω states.
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ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/40/4/041001