SU(3) constraints on cryptoexotic pentaquarks

Abstract

We examine SU(3) constraints on the spectrum and decay widths of cryptoexotic nucleon-like states in antidecuplet of pentaquarks. We show that in the ideal mixing scenario the number of free matrix elements describing splittings reduces from 4 to 2. Model-independent sum rules are derived. Using as input ${\Theta }^{+}$ and ${\Xi }_{3/2}$ masses we show that it is difficult to interpret Roper and $N^{\ast }(1710)$ nucleon resonances as cryptoexotic pentaquarks. Large $N_c$ limit for antidecuplet and accompanying octet in the diqaurk picture and the analogy with the soliton model is also discussed.

9 pages, 5 figures, contribution to Festschrift for Klaus Goeke's 60th birthday, to be published in Nov./Dec. 2004 issue of Annalen der Physik

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Cited by in corpus (5)

• Evidence for Narrow N*(1685) Resonance in Quasifree Compton Scattering on the Neutron
• New Narrow Nucleon N*(1685)
• Evidence for narrow resonant structures at $W\approx 1.68$ and $W\approx 1.72$ GeV in real Compton scattering off the proton
• Phenomenology of spin 3/2 baryons with pentaquarks
• The re-analysis of the 1700 MeV structure of the P11 partial wave using the piN->KLambda production data