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

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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
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 shu
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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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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
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 JP=3/2±, 1/2± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M3/2+<M3/2-M1/2-<M1/2+, 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, LNP)=(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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