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

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, 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

[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)

[1]	S. Al Kharusi , G. Anton , I. Badhrees , P.S. Barbeau , D. Beck , V. Belov , T. Bhatta , M. Breidenbach , T. Brunner , G.F. Cao , W.R. Cen , C. Chambers , B. Cleveland , M. Coon , A. Craycraft , T. Daniels , L. Darroch , S.J. Daugherty , J. Davis , S. Delaquis , A. Der Mesrobian-Kabakian , R. DeVoe , J. Dilling , A. Dolgolenko , M.J. Dolinski , J. Echevers , W. Fairbank Jr. , D. Fairbank , J. Farine , S. Feyzbakhsh , P. Fierlinger , Y.S. Fu , D. Fudenberg , P. Gautam , R. Gornea , G. Gratta , C. Hall , E.V. Hansen , J. Hoessl , P. Hufschmidt , M. Hughes , A. Iverson , A. Jamil , C. Jessiman , M.J. Jewell , A. Johnson , A. Karelin , L.J. Kaufman , T. Koffas , R. Krücken , A. Kuchenkov , K.S. Kumar , Y. Lan , A. Larson , B.G. Lenardo , D.S. Leonard , G.S. Li , S. Li , Z. Li , C. Licciardi , Y.H. Lin , R. MacLellan , T. McElroy , T. Michel , B. Mong , D.C. Moore , K. Murray , O. Njoya , O. Nusair , A. Odian , I. Ostrovskiy , A. Perna , A. Piepke , A. Pocar , F. Retière , A.L. Robinson , P.C. Rowson , J. Runge , S. Schmidt , D. Sinclair , K. Skarpaas , A.K. Soma , V. Stekhanov , M. Tarka , S. Thibado , J. Todd , T. Tolba , T.I. Totev , R. Tsang , B. Veenstra , V. Veeraraghavan , P. Vogel , J.-L. Vuilleumier , M. Wagenpfeil , J. Watkins , M. Weber , L.J. Wen , U. Wichoski , G. Wrede , S.X. Wu , Q. Xia , D.R. Yahne , L. Yang , Y.-R. Yen , O.Ya. Zeldovich , T. Ziegler , (EXO-200 Collaboration) . Search for two-neutrino double-beta decay of ¹³⁶Xe to the ${\bf 0^+_1} $ excited state of ¹³⁶Ba with the complete EXO-200 dataset. Chinese Physics C, 2023, 47(10): 103001. doi: 10.1088/1674-1137/aceee3
[2]	I. I. Bigi , Xian-Wei Kang , Hai-Bo Li . CP asymmetries in Strange Baryon Decays. Chinese Physics C, 2018, 42(1): 013101. doi: 10.1088/1674-1137/42/1/013101
[3]	Dan Wang , Rong-Gang Ping , Lei Li , Xiao-Rui Lyu , Yang-Heng Zheng . Charmed baryon decay asymmetry in e⁺e^- annihilation. Chinese Physics C, 2017, 41(2): 023106. doi: 10.1088/1674-1137/41/2/023106
[4]	Virendrasinh Kher , Nayneshkumar Devlani , Ajay Kumar Rai . Excited state mass spectra, decay properties and Regge trajectories of charm and charm-strange mesons. Chinese Physics C, 2017, 41(7): 073101. doi: 10.1088/1674-1137/41/7/073101
[5]	LIANG Wei-Hong , QIU Yu-Feng , HU Jian-Xiong , SHEN Peng-Nian . Λ_c^* in a coupled-channel baryon-meson scattering. Chinese Physics C, 2011, 35(1): 16-21. doi: 10.1088/1674-1137/35/1/004
[6]	D. G. Richards . Latest lattice results for baryon spectroscopy. Chinese Physics C, 2010, 34(9): 1281-1285. doi: 10.1088/1674-1137/34/9/024
[7]	DAI Lian-Rong . Mixing of scalar meson and baryon-baryon interaction. Chinese Physics C, 2010, 34(9): 1459-1461. doi: 10.1088/1674-1137/34/9/071
[8]	Christopher E. Thomas (for the Hadron Spectrum collaboration) . Exotic and excited-state meson spectroscopy and radiative transitions from lattice QCD. Chinese Physics C, 2010, 34(9): 1512-1515. doi: 10.1088/1674-1137/34/9/087
[9]	S. Aoki (for HAL QCD collaboration) . Baryon-Baryon interactions from lattice QCD. Chinese Physics C, 2010, 34(9): 1236-1240. doi: 10.1088/1674-1137/34/9/016
[10]	Baldini Ferroli . BABAR measurement of baryon time-like form factors via initial state radiation. Chinese Physics C, 2010, 34(6): 860-862. doi: 10.1088/1674-1137/34/6/040
[11]	C. Garcia-Recio , V. K. Magas , T. Mizutani , J. Nieves , A. Ramos , L. L. Salcedo . Charmed baryon resonances with heavy-quark symmetry. Chinese Physics C, 2009, 33(12): 1323-1326. doi: 10.1088/1674-1137/33/12/046
[12]	ZHANG Jian-Rong , HUANG Ming-Qiu . Heavy flavor baryon spectra via QCD sum rules. Chinese Physics C, 2009, 33(12): 1385-1388. doi: 10.1088/1674-1137/33/12/061
[13]	CHEN Yan , MA Bo-Qiang . Octet baryon masses with two-gluon exchange effect. Chinese Physics C, 2009, 33(12): 1362-1365. doi: 10.1088/1674-1137/33/12/055
[14]	T. Hyodo , D. Jido , H.-Ch. Kim , H. Nagahiro , S.I. Nam , M. Oka . Reaction dynamics for photoproductions of baryon resonances. Chinese Physics C, 2009, 33(12): 1167-1174. doi: 10.1088/1674-1137/33/12/019
[15]	HUANG Fei . Strategies for baryon resonance analysis. Chinese Physics C, 2009, 33(12): 1127-1131. doi: 10.1088/1674-1137/33/12/013
[16]	R. A. Arndt , W. J. Briscoe , M. W. Paris , I. I. Strakovsky , R. L. Workman . Baryon resonance analysis from SAID. Chinese Physics C, 2009, 33(12): 1063-1068. doi: 10.1088/1674-1137/33/12/004
[17]	D. Drechsel , S.S. Kamalov , M. Vanderhaeghen . Baryon resonance analysis from MAID. Chinese Physics C, 2009, 33(12): 1069-1076. doi: 10.1088/1674-1137/33/12/005
[18]	C. Alexandrou . Baryon structure from Lattice QCD. Chinese Physics C, 2009, 33(12): 1093-1101. doi: 10.1088/1674-1137/33/12/008
[19]	Chen Hong , Zhang Zongye . Nonperturbative Effect of Nonstrange Baryon Spectrum. Chinese Physics C, 1996, 20(S4): 379-386.
[20]	Yang Hua , Deng Weizhen , Zhang Zongye . Color Screening Effect and Baryon Spectra. Chinese Physics C, 1992, 16(S1): 91-100.

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(1570)
PDF Downloads(102)
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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: Jian Liang,

Corresponding author: Ying Chen,

HTML

目录