3 years ago

Amplitude analysis of the anomalous decay $\eta'\to\pi^+\pi^-\gamma$.

Ling-Yun Dai, De-Liang Yao, Xin-Ying Song, Ulf-G. Meißner, Xian-Wei Kang

In this paper we perform an amplitude analysis of $\eta'\to\pi^+\pi^-\gamma$ and confront it with the latest BESIII data. Based on the final-state interaction theorem, we represent the amplitude in terms of an Omn\'es function multiplied by a form factor that corresponds to the contributions from left-hand cuts and right-hand cuts in the inelastic channels. We also take into account the isospin violation effect induced by $\rho-\omega$ mixing. Our results show that the anomaly contribution is mandatory in order to explain the data. Its contribution to the decay width of $\Gamma(\eta'\to\pi\pi\gamma)$ is larger than that induced by isospin violation. Finally we extract the pole positions of the $\rho$ and $\omega$ as well as their corresponding residues.

Publisher URL: http://arxiv.org/abs/1712.02119

DOI: arXiv:1712.02119v3

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