I= 0，2，1/2，3/2轻标量四夸克态的晶格研究：σ和κ是四夸克态吗？
Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
摘要：
我们调查是否最轻的标量介子σ和κ有一个大的四夸克组分，是强烈支持的许多唯象研究。在晶格上寻找J^PC=0^++，I=0，2，1/2，3/2的轻四夸克态.我们用手征改进夸克进行了双味动力学模拟，用重叠夸克进行了猝灭模拟，发现两种结果之间定性一致。使用广义本征值方法确定的频谱与一些四夸克插值在源和汇，我们省略了断开的收缩。在有限的时间范围内的晶格的本征值的时间依赖性进行了探讨也解析。在所有通道中，我们可以找到最低散射态pi（k）pi（-k）或K（k）pi（-k），其中背靠背动量k=0，2*pi/L，.然而，我们在I=0和I=1/2通道中发现了一个额外的光态，这可以解释为观察到的具有相当大的四夸克分量的共振σ和κ。在I=2和I=3/2的奇异排斥通道中，没有观察到共振，除了散射态外，我们没有发现光态。
英文摘要：
We investigate whether the lightest scalar mesons sigma and kappa have a large tetraquark component, as is strongly supported by many phenomenological studies. A search for possible light tetraquark states with J^PC=0^++ and I=0, 2, 1/2, 3/2 on the lattice is presented. We perform the two-flavor dynamical simulation with Chirally Improved quarks and the quenched simulation with overlap quarks, finding qualitative agreement between both results. The spectrum is determined using the generalized eigenvalue method with a number of tetraquark interpolators at the source and the sink, and we omit the disconnected contractions. The time-dependence of the eigenvalues at finite temporal extent of the lattice is explored also analytically. In all the channels, we unavoidably find lowest scattering states pi(k)pi(-k) or K(k)pi(-k) with back-to-back momentum k=0, 2*pi/L,... However, we find an additional light state in the I=0 and I=1/2 channels, which may be interpreted as the observed resonances sigma and kappa with a sizable tetraquark component. In the exotic repulsive channels I=2 and I=3/2, where no resonance is observed, we find no light state in addition to the scattering states.
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