QCD theory predicts the existence of glueballs, but so far all experimental endeavors have failed to identify any such states. To remedy this discrepancy between QCD, which has proven to be a successful theory for strong interactions, and the failure of experimental searches for glueballs, one is tempted to accept the promising interpretation that the glueballs mix with regular states of the same quantum numbers. The lattice estimate of the masses of pure glueballs ranges from 1 to 2 GeV, which is the region of the family. Thus many authors suggest that the mesonic series is an ideal place to study possible mixtures of glueballs and . In this paper, following the strategy proposed by Close, Farrar and Li, we try to determine the fraction of glueball components in mesons using the measured mass spectra and the branching ratios of radiative decays into mesons. Since the pioneering papers by Close et al., more than 20 years have elapsed and more accurate measurements have been done by several experimental collaborations, so it is time to revisit this interesting topic using new data. We suppose and to be pure quark states, while for , and , to fit both the experimental data of radiative decay and their mass spectra, glueball components are needed. Moreover, the mass of the pure glueball is phenomenologically determined.

QCD 理论预言了胶球的存在，但到目前为止，所有的实验努力都未能识别出任何这样的状态。为了弥补 QCD（已被证明是一种成功的强相互作用理论）与胶球实验搜索失败之间的这种差异，人们倾向于接受胶球与相同量子数的常规状态混合的有希望的解释。纯胶球质量的晶格估计范围为 1 到 2 GeV，这是该族的区域。因此，许多作者认为，介子系列是研究胶球和. 在本文中，按照 Close、Farrar 和 Li 提出的策略，我们尝试确定胶球成分在使用测量的质谱和辐射衰变成介子的分支比的介子。自从 Close等人的开创性论文以来，已经过去了 20 多年，多次实验合作完成了更准确的测量，因此是时候使用新数据重新审视这个有趣的话题了。我们假设和是纯夸克态，而和，为了拟合辐射衰变的实验数据及其质谱，需要胶球成分。此外，纯胶球的质量是由现象学确定的。