Ππ contribution to the QCD sum rules for the light tetraquark
Ππ contribution to the QCD sum rules for the light tetraquark
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DOI：
10.1103/physrevd.78.076005
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发表时间：
2007-02
影响因子：
5
通讯作者：
H. Lee;N. Kochelev
中科院分区：
文献类型：
--
作者：
H. Lee;N. Kochelev
我们对f{sub 0}轻四夸克态进行了QCD求和规则分析，考虑了两个π介子中间态的贡献。利用不同手征组合的标量和赝标双夸克的内插流，证明了具有最大手征的内插流与两π介子态有很强的耦合，而具有零手征的内插流与两π介子态的相互作用很弱.考虑到在f{sub 0}-2 π介子顶点的形状因子，它表明，f{sub 0}耦合到2 π介子态导致最轻的四夸克质量增加了约100 MeV的值。对求和定则的分析表明，在与二π介子态有较强耦合的瞬子场中，{sigma}（f{sub 0}（600））介子态可作为四夸克束缚态处理.
We perform a QCD sum rule analysis for the f{sub 0} light tetraquark taking into account the contribution arising from the two pion intermediate state. With the interpolating currents of the different chiral combinations of scalar and pseudoscalar diquarks, it is demonstrated that the interpolating current with maximum chirality has a large coupling to the two pion state, but the current with zero chirality interacts only weekly with this state. Taking into account the form factor in the f{sub 0}-two pion vertex, it is shown that the f{sub 0} coupling to the two pion state leads to an increase of the lightest tetraquark mass by a value of about 100 MeV. The analysis of the resulting sum rule shows that the {sigma}(f{sub 0}(600))-meson state might be treated as the four-quark bound state in the instanton field which has a rather strong coupling to the two pion state.