Spectrum and Bethe-Salpeter amplitudes of &Omega; baryons from lattice QCD

Jian Liang; Wei Sun; Ying Chen; Wei-Feng Qiu; Ming Gong; Chuan Liu; Yu-Bin Liu; Zhao-Feng Liu; Jian-Ping Ma; Jian-Bo Zhang

doi:10.1088/1674-1137/40/4/041001

Chinese Physics C> 2016, Vol. 40> Issue(4) : 041001 DOI: 10.1088/1674-1137/40/4/041001

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

Jian Liang ^1,2,, ,
Wei Sun ^1,2 ,
Ying Chen ^1,2,, ,
Wei-Feng Qiu ^1,2 ,
Ming Gong ^1,2 ,
Chuan Liu ³ ,
Yu-Bin Liu ⁴ ,
Zhao-Feng Liu ^1,2 ,
Jian-Ping Ma ⁵ ,
Jian-Bo Zhang ⁶

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

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Abstract：
The Ω baryons with J^P=3/2^±, 1/2^± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M_3/2⁺<M_3/2^-≈M_1/2^-<M_1/2⁺, as is expected from the constituent quark model. The mass values are also close to those of the four Ω states 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, L_N^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.
- baryon ,
- excited state ,
- BS amplitude

References

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Jian Liang, Wei Sun, Ying Chen, Wei-Feng Qiu, Ming Gong, Chuan Liu, Yu-Bin Liu, Zhao-Feng Liu, Jian-Ping Ma and Jian-Bo Zhang. Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD[J]. Chinese Physics C, 2016, 40(4): 041001. doi: 10.1088/1674-1137/40/4/041001

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Received: 2015-11-17
Revised: 2015-11-25

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The numerical calculations were carried out on Tianhe-1A at the National Supercomputer Center(NSCC) in Tianjin. Supported by National Science Foundation of China(NSFC)(11105153, 11335001, 11405053), Youth Innovation Promotion Association of CAS, NSFC(11261130311)(CRC 110 by DFG and NSFC)

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: Jian Liang,

Corresponding author: Ying Chen,

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

Received Date: 2015-11-17
Accepted Date: 2015-11-25
Available Online: 2016-03-28

Fund Project: The numerical calculations were carried out on Tianhe-1A at the National Supercomputer Center(NSCC) in Tianjin. Supported by National Science Foundation of China(NSFC)(11105153, 11335001, 11405053), Youth Innovation Promotion Association of CAS, NSFC(11261130311)(CRC 110 by DFG and NSFC)

Abstract: The Ω baryons with J^P=3/2^±, 1/2^± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M_3/2⁺<M_3/2^-≈M_1/2^-<M_1/2⁺, as is expected from the constituent quark model. The mass values are also close to those of the four Ω states 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, L_N^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.