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

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

Abstract
HTML
Reference
Related

PDF

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, 0 ₂ ⁺) 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

[1]	E. Klempt and J. M. Richard, Rev. Mod. Phys. 82:1095(2010)[arXiv:0901.2055[hep-ph]]
[2]	K. A. Olive et al(Particle Data Group Collaboration), Chin. Phys. C, 38:090001(2014)
[3]	T. W. Chiu and T. H. Hsieh, Nucl. Phys. A, 755:471(2005)[hep-lat/0501021]
[4]	C. Alexandrou et al(European Twisted Mass Collaboration), Phys. Rev. D, 78:014509(2008)[arXiv:0803.3190[hep-lat]]
[5]	J. Bulava, R. G. Edwards, E. Engelson, B. Joo, H. W. Lin, C. Morningstar, D. G. Richards, and S. J. Wallace, Phys. Rev. D, 82:014507(2010)[arXiv:1004.5072[hep-lat]]
[6]	S. Weinberg, The Quantum theory of fields. Vol. 1:Foundations
[7]	R. G. Edwards, J. J. Dudek, D. G. Richards, and S. J. Wallace, Phys. Rev. D, 84:074508(2011)[arXiv:1104.5152[hep-ph]]
[8]	S. Gusken, Nucl. Phys. Proc. Suppl., 17:361(1990)
[9]	E. Marinari, Nucl. Phys. Proc. Suppl., 9:209(1989)
[10]	C. J. Morningstar and M. J. Peardon, Phys. Rev. D, 56:4043(1997)[hep-lat/9704011]
[11]	C. Liu, J. H. Zhang, Y. Chen, and J. P. Ma, Nucl. Phys. B, 624:360(2002)[hep-lat/0109020]
[12]	M. A. Clark, R. Babich, K. Barros, R. C. Brower and C. Rebbi, Comput. Phys. Commun., 181:1517(2010)[arXiv:0911.3191[hep-lat]]
[13]	G. Karl and E. Obryk, Nucl. Phys. B, 8:609(1968)
[14]	D. Faiman and A. W. Hendry, Phys. Rev., 173:1720(1968)

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Fund

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)

Article Metric

Article Views(3380)
PDF Downloads(105)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者:陈斌, bchen63@163.com

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 withJ^P=3/2^±, 1/2^±are studied on the lattice in the quenched approximation. Their mass levels are ordered asM_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 theSU(6)⊗O(3) quark model description. Our results are helpful for identifying the quantum numbers of experimentally observed Ω states.