Broken SU(3) antidecuplet for ${\Theta }^{+}$ and ${\Xi }_{3/2}$

Abstract

If the narrow exotic baryon resonances ${\Theta }^{+}(1540)$ and $Ξ_{{3/2}(1862)$ are members of the $J^P=1/21/2^{+}$ antidecuplet with $N^{\ast }(1710)$, the octet-antidecuplet mixing is required not only by the mass spectrum but also by the decay pattern of $N^{\ast }(1710)$. This casts doubt on validity of the ${\Theta }^{+}$ mass prediciton by the chiral soliton model. While all pieces of the existing experimental information point to a small octet-antidecuplet mixing, the magnitude of mixing required by the mass spectrum is not consistent with the value needed to account for the hadronic decay rates. The discrepancy is not resolved even after the large experimental uncertainty is taken into consideration. We fail to find an alternative SU(3) assignment even with different spin-parity assignment.

14 pages, 4 tables. Some changes in the text made, a section added on mixing with higher SU(3) multiplets, and more references added

References in corpus (13)

• Observation of an Exotic Baryon with S=+1 in Photoproduction from the Proton
• Evidence for a narrow |S|=1 baryon state at a mass of 1528 MeV in quasi-real photoproduction
• Evidence for a narrow baryonic state decaying to K0s-p and K0s-pbar in deep inelastic scattering at HERA
• Understanding Pentaquark States in QCD
• Experimental Limits on the Width of the Reported Theta(1540)+
• Nonstrange and other unitarity partners of the exotic Theta+ baryon
• Chiral-Soliton Predictions for Exotic Baryons
• Exotic Theta^+ baryon production induced by a photon and a pion
• A Method to Unambiguously Determine the Parity of the Theta+ Pentaquark
• Determination of the ${\Theta }^{+}$ parity from $\gamma n\to K^{-}{K}^{+}n$
• Baryon Exotics in the Quark Model, the Skyrme Model and QCD
• Pentaquark Symmetries, Selection Rules and another potentially Narrow State
• Theta^+ baryon production in KN and NN reactions

Cited by in corpus (7)

• Pentaquark baryons in SU(3) quark model
• Phenomenology of spin 3/2 baryons with pentaquarks
• Two-meson cloud contribution to the baryon antidecuplet binding
• On strange SU(3) partners of Theta+
• The anti-decuplet candidate Xi--(1862) as a heptaquark with the overlap of two anti-kaons and a nucleon
• SU(3) constraints on cryptoexotic pentaquarks
• Chiral Soliton Model vs Pentaquark Structure for Θ(1540)