Properties of baryon anti-decuplet

Abstract

We study the group structure of baryon anti-decuplet containing the ${\Theta }^{+}$. We derive the SU(3) mass relations among the pentaquark baryons in the anti-decuplet, when there is either no mixing or ideal mixing with the pentaquark octet, as advocated by Jaffe and Wilczek. This constitutes the Gell-Mann--Okubo mass formula for the pentaquark baryons. We also derive SU(3) symmetric Lagrangian for the interactions of the baryons in the anti-decuplet with the meson octet and the baryon octet. Our analysis for the decay widths of the anti-decuplet states suggests that the N(1710) is ruled out as a pure anti-decuplet state, but it may have anti-decuplet component in its wavefunction if the multiplet is mixed with the pentaquark octet.

5 pages, 1 figure, phases are chosen to be consistent with the de Swart convention, to appear in Phys. Rev. D

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Cited by in corpus (25)

• Z^* Resonances: Phenomenology and Models
• Xi and Omega baryons in the Skyrme model
• On the cross section ratio sigma_n/sigma_p in eta photoproduction
• Parity of ${\Theta }^{+}$(1540) from QCD sum rules
• Penta-quark baryon in anisotropic lattice QCD
• A Naturally Narrow Positive Parity Theta^+
• Pentaquark Theta^+(1540) production in gamma N --> K Anti-K N
• Pentaquark baryons in SU(3) quark model
• Evidence for an Excited Hyperon State in pp -> p K^+ Y^{0*}
• Octet, decuplet and antidecuplet magnetic moments in the chiral quark soliton model revisited
• Spin 3/2 Penta-quarks in anisotropic lattice QCD
• QCD sum rules for the anti-charmed pentaquark
• Triquark correlations and pentaquarks in a QCD sum rule approach
• Investigating the parity of the exotic Theta^+ baryon from the kaon photoproduction
• Spin asymmetries in gamma + N --> K*bar + Theta^+
• Two-meson cloud contribution to the baryon antidecuplet binding
• K*-couplings for the antidecuplet excitation
• Broken SU(3) antidecuplet for ${\Theta }^{+}$ and ${\Xi }_{3/2}$
• Heavy and Light Pentaquark Chiral Lagrangian
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Upper limits for the photoproduction cross section for the Phi--(1860) pentaquark state off the deuteron
• Determination of the parity of the pentaquark baryons : Theta^+ and Xi_5
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• Indication of an excited hyperon state in pp collisions with ANKE at COSY-Juelich
• The mass structure of SU(3) baryon antidecuplet and pion muon mass difference