Properties of baryon anti-decuplet
Abstract
We study the group structure of baryon anti-decuplet containing the . 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.
Cite
@article{arxiv.hep-ph/0310117,
title = {Properties of baryon anti-decuplet},
author = {Yongseok Oh and Hungchong Kim and Su Houng Lee},
journal= {arXiv preprint arXiv:hep-ph/0310117},
year = {2009}
}
Comments
5 pages, 1 figure, phases are chosen to be consistent with the de Swart convention, to appear in Phys. Rev. D