论文标题

手性异常在$π_{1}(1600)\rightarrowπη^{\ prime} $中

Chiral anomaly role in $π_{1}(1600)\rightarrowπη^{\prime}$

论文作者

Giacosa, Francesco

论文摘要

The ground-state (lightest) hybrid nonet with exotic quantum numbers $J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$ build a homochiral multiplet involving left- and right-handed currents, which under chiral transformation change just as (axial-)vector mesons.在扩展线性Sigma模型的背景下,可以获得杂种的质量和相互作用。在这里,我们将OH混合体专注于两个伪内膜中,例如$ηπ$和$η^{\ prime}π$模式。实际上,$π_{1}(1400)\rightArrowπη$和$π_{1}(1600)\rightarrowπη^{\ prime} $在实验中看到。假设$π_{1}(1400)$和$π_{1}(1600)$对应于同一状态$π_{1}^{hyb} $,我们表明这些衰变(和相似的)源于刻薄的对称互动术语,这些互动术语会明显地破坏轴向轴向轴向轴向反感。在这方面,这些衰减将是中间扇形中轴向(或手性)异常的附加表现。

The ground-state (lightest) hybrid nonet with exotic quantum numbers $J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$ build a homochiral multiplet involving left- and right-handed currents, which under chiral transformation change just as (axial-)vector mesons. Masses and interactions of hybrids can be obtained in the context of the extended Linear Sigma Model. Here, we concentrate on the decays oh hybrids into two pseudoscalar mesons, such as $ηπ$ and $η^{\prime}π$ modes. Indeed, $π_{1}(1400)\rightarrowπη$ and $π_{1}(1600)\rightarrowπη^{\prime}$ have been seen in experiments. Assuming that $π_{1}(1400)$ and $π_{1}(1600)$ correspond to the same state $π_{1}^{hyb}$, we show that these decays (and similar ones) follow from a chirally symmetric interaction term that breaks explicitly the axial anomaly. In this respect, these decays would be an additional manifestation of the axial (or chiral) anomaly in the mesonic sector.

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