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Properties of baryon anti-decuplet

Yongseok Oh·Hungchong Kim·Su Houng Lee
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Abstract

We study the group structure of baryon anti-decuplet containing the $Θ^+$. 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.

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Yongseok Oh, Hungchong Kim, Su Houng Lee. 2004-02-13. Properties of baryon anti-decuplet. https://doi.org/10.1103/physrevd.69.094009

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