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Spectrum and Bethe-Salpeter amplitudes of $Omega$ 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
; | | Date: |
13 Nov 2015 | | Abstract: | The $Omega$ 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
$Omega$ states observed in experiments, respectively. We calculate the
Bethe-Salpeter amplitudes of $Omega(3/2^+)$ and $Omega(1/2^+)$ and find there
is a radial node for the $Omega(1/2^+)$ Bethe-Salpeter amplitude, which may
imply that $Omega(1/2^+)$ is an orbital excitation of $Omega$ baryons as a
member of the $(D,L_N^P)=(70,0_2^+)$ supermultiplet in the $SU(6)igotimes
O(3)$ quark model description. Our results are helpful for identifying the
quantum number of experimentally observed $Omega$ states. | | Source: | arXiv, 1511.4294 | | Services: | Forum | Review | PDF | Favorites | |
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