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arXiv · 1511.04294

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

Jian Liang·Wei Sun·Ying Chen·Wei-Feng Chiu·Ming Gong·Chuan Liu·Yu-Bin Liu·Zhaofeng Liu·Jian-Ping Ma·Jian-Bo Zhang
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Abstract

The $Ω$ baryons with $J^P=3/2^\pm, 1/2^\pm$ are studied on the lattice in the quenched approximation. Their mass levels are ordered as $M_{3/2^+}<M_{3/2^-}\approx M_{1/2^-}<M_{1/2^+}$, as is expected from the constituent quark model. The mass values are also close to those of the four $Ω$ states observed in experiments, respectively. 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 $SU(6)\bigotimes O(3)$ quark model description. Our results are helpful for identifying the quantum number of experimentally observed $Ω$ states.

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Jian Liang, Wei Sun, Ying Chen, Wei-Feng Chiu, Ming Gong, Chuan Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Jian-Bo Zhang. 2016-04-12. Spectrum and Bethe-Salpeter amplitudes of $Ω$ baryons from lattice QCD. https://doi.org/10.1088/1674-1137%2F40%2F4%2F041001

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