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Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for a pseudoscalar glueball state

机译:再次探讨伪标量介子和胶球混合以及寻找伪标量胶球状态的关键问题

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We revisit the mixing mechanism for pseudoscalar mesons and glueball which is introduced by the axial vector anomaly. We demonstrate that the physical mass of the pseudoscalar glueball does not favor to be lower than 1.8?GeV if all the parameters are reasonably constrained. This conclusion, on the one hand, can accommodate the pseudoscalar glueball mass calculated by lattice QCD, and on the other hand, is consistent with the high-statistics analyses at BESIII that all the available measurements do not support the presence of two closely overlapping pseudoscalar states in any exclusive channel. Such a result is in agreement with the recent claim that the slightly shifted peak positions for two possible states η ( 1405 ) and η ( 1475 ) observed in different channels are actually originated from one single state with the triangle singularity interferences. By resolving this long-standing paradox, one should pay more attention to higher mass region for the purpose of searching for the pseudoscalar glueball candidate.
机译:我们回顾了由轴向矢量异常引入的伪标量介子和胶球的混合机制。我们证明,如果所有参数都受到合理约束,则伪标量胶球的物理质量不希望低于1.8?GeV。这个结论一方面可以容纳由点阵QCD计算的拟标量胶球质量,另一方面与BESIII的高统计分析一致,即所有可用的测量结果都不支持两个紧密重叠的拟标量的存在。状态在任何专用渠道中。这样的结果与最近的权利要求相一致,即在不同通道中观察到的两个可能状态η(1405)和η(1475)的稍微偏移的峰值位置实际上源自具有三角形奇异性干扰的单个状态。通过解决这一长期存在的悖论,人们应该更加关注更高质量的区域,以寻找伪标量胶球候选者。

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