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26 April 2024
 
  » arxiv » hep-ph/0506119

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Diquark in Nona-quark States
Gui-Jun Ding ; Mu-Lin Yan ;
Date 13 Jun 2005
Journal Phys.Rev. D72 (2005) 034014
Subject hep-ph
AbstractWe study the nonaquark states $S^0(3115)$ and $S^+(3140)$ which are reported by KEK-PS (Phys.Lett. B597 (2004) 236; nucl-ex/0310018) by means of the quark model with diquark correlation. The nonaquark states form $f{1},f{8},f{10},ar{f{10}},f{27},ar{f{35}}$ SU(3) multiplets. The flavor wave functions of all the nonaquark states are constructed through the standard tensor technique. The mass spectrum is studied by using Gell-Mann-Okubo mass formula. Some nonaquark mass sum rules are obtained. We further investigate the decay of $S^0(3115)$ and $S^+(3140)$ under the assumption of "fall-apart" mechanism. It has been found that the main decay mode is $Sigma NN$ rather than $Lambda NN$ which is consistent with experiment. Also we have uniquely determine the flavor wave function of $S^0(3115)$ which belong to $f{27}$-plet with the quantum number $Y=2,I=1,I_z=-1$. Whereas the exotic states $S^+(3140)$ can belong to either $f{27}$-plet or $ar{f{35}}$-plet. In the exact $SU(3)^{flavor} imes SU(3)^{color} imes SU(2)^{spin}$ limit, both $S^0(3115)$ and $S^+(3140)$ belong to ${f 27}$-plet with negative parity. We predict that its flavor structure can be determined by measuring the branch fractions of its decay channels. The experiments to check this prediction are expected.
Source arXiv, hep-ph/0506119
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