论文标题
在$η\toπ^+π^-γ$和$η'\toπ^+π^-γ$衰减中的轴向矢量介子的帐户
Account for axial vector mesons in the $η\toπ^+π^-γ$ and $η' \toπ^+π^-γ$ decays
论文作者
论文摘要
计算了异常$η\toπ^+π^-γ$和$η'\toπ^+π^-γ$衰减的速率和光谱。该方法基于通过集成夸克场的Nambu-Jona-Lasinio模型中与矢量和轴向矢量介子获得的有效介子拉格朗日。所得的动作受到伪卡尔卡尔$ j^{pc} = 0^{ - +} $与轴 - 矢量$ 1^{++} $ nonets之间的混合的影响。在本说明中，我们指出的是，对角度化这种混合的量规协变过程，可以一致地描述$η\toπ^+π^-γ$和$η'\toπ^+π^-γ$衰减。
The rates and spectra of the anomalous $η\toπ^+π^-γ$ and $η' \toπ^+π^-γ$ decays are calculated. The approach is based on the effective meson Lagrangian obtained in the Nambu-Jona-Lasinio model with vector and axial-vector mesons by integrating out quark fields. The resulting action is affected by mixing between members of pseudoscalar $J^{PC}=0^{-+}$ and axial-vector $1^{++}$ nonets that violates some low-energy theorems. In this note we point out that a gauge covariant procedure to diagonalize this mixing allows for consistent description of the $η\toπ^+π^-γ$ and $η' \toπ^+π^-γ$ decays.
