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- Title
Mass spectra, wave functions and mixing effects of the (bcq) baryons.
- Authors
Li, Qiang; Chang, Chao-Hsi; Qin, Si-Xue; Wang, Guo-Li
- Abstract
Mass spectra and wave functions of the J P = 1 2 + (bcq) baryons are calculated by the relativistic Bethe–Salpeter equation (BSE) with considering the mixing effects between the 1 + and 0 + (bc)-diquarks inside. Based on the diquark picture, the three-body problem of baryons is transformed into two two-body problems. The BSE and wave functions of the 0 + diquark are given, and then solved numerically to obtain the effective mass spectra and form factors. Also we present the wave functions at zero point for the (bc)-diquark. Considering the obtained diquark form factors, the (bcq) baryons are then described by the BSE as the bound state of a diquark and a light quark, where the interaction kernel includes the inner transitions between the 0 + and 1 + diquarks. The general wave function of the 1 2 + (bcq) baryons is constructed and solved to obtain the corresponding mass spectra. Especially, by using the obtained wave functions, the mixing effects between Ξ bc (Ω bc) and Ξ bc ′ (Ω bc ′) in ground states are computed and determined to be small ( ∼ 1 % ). The numerical results indicate that it is a good choice to take Ξ bc and Ξ bc ′ as the baryon states with the inside (bc)-diquarks occupying the definite spin.
- Subjects
MASS spectrometry; WAVE functions; BOUND states; BETHE-Salpeter equation; TWO-body problem (Physics); PENTAQUARK; QUARK models; BARYONS
- Publication
European Physical Journal C -- Particles & Fields, 2022, Vol 82, Issue 1, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-022-10006-8