Understanding light scalar meson by color-magnetic wave function in QCD sum rule

Understanding light scalar meson by color-magnetic wave function in QCD sum rule
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通过QCD求和法则中的色磁波函数理解光标量介子

DOI：
10.1140/epja/i2009-10876-4
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发表时间：
2009-01
期刊：
European Physical Journal A
影响因子：
2.7
通讯作者：
Mu-Lin Yan
Mu-Lin Yan
中科院分区：
物理与天体物理3区
文献类型：
--
作者：
Yi Pang;Mu-Lin Yan

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在色磁波函数的启发下，我们研究了0+九重介子的四夸克态。这个波函数是有效色磁哈密顿量的本征函数，具有最低的本征值，这意味着这个波函数所描述的状态是最稳定的，并且最有可能在实验中观察到。我们进行了一个OPE计算到8维凝聚，并发现最好的QCD求和规则时，实现的色磁波函数的电流是一个适当的混合张量和赝标双夸克-反双夸克束缚态。与以往的结果相比，对sigma（600）和kappa（800），我们的结果似乎更好，由于更大的极点贡献。直接瞬子的贡献也被认为是，这产生了一致的结果与以前的OPE结果。最后，我们还讨论了可能的六夸克态。
In this paper, we study the 0+nonet mesons as tetraquark states with interpolating currents inspired by the color-magnetic wave function. This wave function is the eigenfunction of an effective color-magnetic Hamiltonian with the lowest eigenvalue, meaning that the state depicted by this wave function is the most stable one and is the most probable to be observed in experiments. We perform an OPE calculation up to dimension-eight condensates and find that the best QCD sum rule is achieved when the current inspired by the color-magnetic wave function is a proper mixture of the tensor and pseudoscalar diquark-antidiquark bound states. Compared with previous results, to sigma(600) and kappa(800), our results appear better, due to larger pole contribution. The direct instanton contributions are also considered, which yields a consistent result with previous OPE results. Finally, we also discuss theproblem as a possible six-quark state.
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