SU(3) constraints on cryptoexotic pentaquarks

Details SU(3) constraints on cryptoexotic pentaquarks SU(3) constraints on cryptoexotic pentaquarks

2004-10-06

arxiv.org/abs/hep-ph/0410086v1

Annalen Phys. 13 (2004) 709-717

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1002/andp.200410113

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.

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