Theoretical study on \eta'--> 4 pions

The \(\eta'\) meson is associated with the U(1) anomaly. In this paper, a successful effective chiral theory of mesons has been applied to study the anomalous decay of \(\eta'\rightarrow \pi^+\pi^-\pi^{+(0)}\pi^{-(0)}\). In this study, the contributions of triangle and box anomalies are ca...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Jafari, Ehsan, Bing An Li
Format: Article
Language:English
Subjects:
Anomalies
Mesons
Pions
Online Access:Get full text
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Summary:The \(\eta'\) meson is associated with the U(1) anomaly. In this paper, a successful effective chiral theory of mesons has been applied to study the anomalous decay of \(\eta'\rightarrow \pi^+\pi^-\pi^{+(0)}\pi^{-(0)}\). In this study, the contributions of triangle and box anomalies are calculated. It is shown that the contribution of box diagrams is important in this process. We predict branching ratios of \(Br(\eta' \rightarrow \pi^+ \pi^- \pi^+ \pi^-)={1 \over 2}Br(\eta' \rightarrow \pi^+ \pi^- \pi^0 \pi^0) = (8.3 \pm 1.2) \times 10^{-5}\), which is in good agreement with BESIII measurement.
ISSN:2331-8422
DOI:10.48550/arxiv.1903.12275