Using the color-magnetic interaction Hamiltonian with SU(3) flavor symmetry breaking, we perform a schematic study of the masses of the JP=1+ tetraquarks in the anti-decuplet representation. After diagonalizing the mass matrix, we find the udsˉsˉ tetraquark lies around 1347 MeV. It decays into K+K0π0,K+K+π−,K0K0π+ via P-wave. The dual suppression from the not-so-big three-body phase space and P-wave decay barrier may render this exotic state rather narrow. Future experimental exclusion of this state will cast doubt on the validity of applying the simple color-magnetic Hamiltonian to the multiquark system.
@article{arxiv.hep-ph/0511150,
title = {The $J^P=1^+$ $ud\bar s\bar s$ Tetraquark},
author = {Ying Cui and Xiao-Lin Chen and Wei-Zhen Deng and Shi-Lin Zhu},
journal= {arXiv preprint arXiv:hep-ph/0511150},
year = {2008}
}