While the ground-state tensor ($J^{PC}=2^{++}$) mesons $a_2(1320)$, $K_2^{*}(1430)$, $f_2(1270)$, and $f_2^{\prime }(1525)$ are well known experimentally and form an almost ideal nonet of quark-antiquark states, their chiral partners, the ground-states axial-tensor ($J^{PC}=2^{--}$) mesons are poorly settled: only the kaonic member $K_2(1820)$ of the nonet has been experimentally found, whereas the isovector state ${\rho }_2$ and two isoscalar states ${\omega }_2$ and ${\varphi }_2$ are still missing. Here, we study masses, strong, and radiative decays of tensor and axial-tensor mesons within a chiral model that links them: the established tensor mesons are used to test the model and to determine its parameters, and subsequently various predictions for their chiral partners, the axial-tensor mesons, are obtained. The results are compared to current lattice QCD outcomes as well as to other theoretical approaches and show that the ground-state axial-tensor mesons are expected to be quite broad, the vector-pseudoscalar mode being the most prominent decay mode followed by the tensor-pseudoscalar one. Nonetheless, their experimental finding seems to be possible in ongoing and/or future experiments.

中文翻译：

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从著名的张量介子到未知的轴向张量介子

而基态张量 (${Ĵ}^{磷C}=2^{++}$) 介子${\mathrm{一个}}_2(1320)$,${ķ}_2^{*}(1430)$,$F_2(1270)$， 和$F_2^{\text{'}}(1525)$在实验上是众所周知的，并形成了一个几乎理想的夸克-反夸克态、它们的手性伙伴、基态轴向张量 (${Ĵ}^{磷C}=2^{--}$) 介子很难解决：只有 kaonic 成员${ķ}_2(1820)$已经通过实验发现了 nonet 的状态，而等向量状态${\rho }_2$和两个等量状态${\omega }_2$和${\phi }_2$仍然失踪。在这里，我们在一个连接它们的手性模型中研究张量和轴向张量介子的质量、强和辐射衰减：已建立的张量介子用于测试模型并确定其参数，以及随后对其手性伙伴的各种预测, 得到轴向张量介子。将结果与当前的晶格 QCD 结果以及其他理论方法进行了比较，结果表明基态轴向张量介子预计将非常广泛，矢量伪标量模式是最突出的衰减模式，其次是张量-伪标量一。尽管如此，他们的实验发现似乎在正在进行和/或未来的实验中是可能的。