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arXiv 0804.3714hep-ph
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赝标(P)和矢量(V)介子的辐射衰变及e^+e^- \to η' ρ过程

Radiative decays of pseudoscalar (P) and vector (V) mesons and the process e^+e^- \to η' ρ

Yu. M. Bystritskiy, E. A. Kuraev, M. Sečanský, M. K. Volkov

摘要:

在手征Nambu-Jona-Lasinio(NJL)模型框架下计算了赝标和矢量介子的辐射衰变。我们使用的振幅三角夸克环的反常类型。在计算这些环积分时,我们使用两种方法。在第一种方法中,我们通过重新生成有效手征介子拉格朗日量的Wess-Zumino-Witten项,忽略了外动量的依赖。在第二种方法中,我们考虑了忽略虚部的回路积分的动量依赖性。这使得夸克禁闭成为可能。应用这两种方法是在定性协议与对方和实验数据。第二种方法使我们能够描述电子正电子湮没产生的$η'$和$ρ$介子的质心能量范围从1.6到3.5 $\GeV$。与最近的实验数据进行了比较。

英文摘要:

Radiative decays of pseudoscalar and vector mesons are calculated in the framework of the chiral Nambu-Jona-Lasinio (NJL) model. We use the amplitude for triangle quark loops of anomalous type. In evaluating these loop integrals we use two methods. In the first one, we neglect the dependence of external momenta by reproducing the Wess-Zumino-Witten terms of effective chiral meson Lagrangian. In the second method, we take into account the momentum dependence of loop integrals omitting their imaginary part. This makes it possible to allow for quark confinement. As applied both the methods is in qualitative agreement with each other and with experimental data. The second method allows us to describe the electron-positron annihilation with production of $η'$ and $ρ$ mesons in the center of mass energy range from 1.6 to 3.5$\GeV$. The comparison with the recent experimental data is presented.

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