SU(3) constraints on cryptoexotic pentaquarks

DOI10.1002/ANDP.200410113zbMath1057.81566arXivhep-ph/0410086OpenAlexW3125937394WikidataQ112230972 ScholiaQ112230972MaRDI QIDQ4651677

Michał Praszałowicz

Publication date: 22 February 2005

Published in: Annalen der Physik (Search for Journal in Brave)

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

T h e t a^{+}

and

X i_{3 / 2}

masses we show that it is difficult to interpret Roper and

N^{a s t} (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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0410086

zbMATH Keywords

solitons mixing diquarks large Nc limit Pentaquarks

Mathematics Subject Classification ID

Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Applications of Lie groups to the sciences; explicit representations (22E70)

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