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Mass calculations of light quarkonium, exotic JPC=0+? hybrid mesons from Gaussian sum rules

机译:轻量级石英的质量计算,外来JPC = 0 +?高斯和规则的混合介子

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We extend previous calculations of leading-order correlation functions of spin-0 and spin-1 light quarkonium hybrids to include QCD condensates of dimensions five and six, with a view to improving the stability of QCD sum-rules analyses in previously unstable channels. Based on these calculations, prior analyses in the literature, and its experimental importance, we identify the exotic J P C = 0 + ? channel as the most promising for detailed study. Using Gaussian sum rules constrained by the H?lder inequality, we calculate masses of light (nonstrange and strange) quarkonium hybrid mesons with J P C = 0 + ? . A model-independent analysis of the hadronic spectral function indicates that there is distributed resonance strength in this channel. Hence, we study two hadronic models with distributed resonance strength: a single wide resonance model and a double narrow resonance model. The single wide resonance model is disfavored as it leads to an anomalously large resonance width (greater than 1?GeV). The double narrow resonance model yields excellent agreement between QCD and phenomenology: in both nonstrange and strange cases, we find hybrid masses of 2.60?GeV and 3.57?GeV.
机译:我们扩展了对spin-0和spin-1轻质石英混合体的前导相关函数的先前计算,以包括尺寸为5和6的QCD冷凝物,以提高QCD和规则在先前不稳定通道中分析的稳定性。基于这些计算,文献中的先前分析及其实验重要性,我们确定了奇异的J P C = 0 +?渠道是最有希望进行详细研究的渠道。使用受H?lder不等式约束的高斯和规则,我们计算出J P C = 0 +?的轻质(非奇异和奇异)夸克混合介子的质量。 。强子光谱函数的与模型无关的分析表明,该通道中存在分布的共振强度。因此,我们研究了两个具有分布共振强度的强子模型:一个单宽共振模型和一个双窄共振模型。单个宽谐振模型不受欢迎,因为它会导致异常大的谐振宽度(大于1?GeV)。双窄共振模型在QCD和现象学之间取得了极好的一致性:在非奇异和奇怪的情况下,我们发现混合质量为2.60?GeV和3.57?GeV。

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