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SU(3) constraints on cryptoexotic pentaquarks

Michal Praszalowicz
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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 $Θ^+$ and $Ξ_{3/2}$ 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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Michal Praszalowicz. 2004-10-06. SU(3) constraints on cryptoexotic pentaquarks. https://doi.org/10.1002/andp.200410113

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