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The J^P=1^+ udbar sbar s Tetraquark

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arxiv hep-ph/0511150 v1 pith:F4SYXZPJ submitted 2005-11-11 hep-ph nucl-exnucl-th

The $J^P=1^+$ $ud\bar s\bar s$ Tetraquark

classification hep-ph nucl-exnucl-th
keywords color-magnetichamiltonianp-wavestatetetraquarkanti-decupletapplyingaround
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 anti-decuplet representation. After diagonalizing the mass matrix, we find the $ud\bar s\bar s$ tetraquark lies around 1347 MeV. It decays into $K^+K^0\pi^0, K^+K^+\pi^-, K^0K^0\pi^+$ 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.

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