JP=1+uds¯s¯tetraquark

Abstract

Using the color-magnetic interaction Hamiltonian with SU(3) flavor symmetry breaking, we perform a schematic study of the masses of the ${J}^{P}={1}^{+}$ tetraquarks in the antidecuplet representation. After diagonalizing the mass matrix, we find the $ud\overline{s}\overline{s}$ tetraquark could lie as low as about 1350 MeV. It decays into ${K}^{+}{K}^{0}{\ensuremath{\pi}}^{0}$, ${K}^{+}{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${K}^{0}{K}^{0}{\ensuremath{\pi}}^{+}$ 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.