Abstract
The BESIII Collaboration recently reported the observation of the mixing in the isospin-breaking decay . In the Dalitz plot for that decay with the reconstructed from two photons, there is a band around 1.4 GeV on the distribution. In general, this peak can be due to a resonance or a kinematic effect. In this paper, we study the effects of a set of triangle diagrams and show that due to triangle singularities such diagrams can lead to a peak around 1.4 GeV in the invariant mass distribution, which is a model-independent conclusion. The Dalitz plot induced by such a mechanism has a feature consistent with the BESIII observation; namely, events along the band accumulate at both ends close to the Dalitz plot boundary. The effects of the same mechanism on the and decays are also investigated. We suggest to take more data for the and check whether the structure around 1.4 GeV persists for the invariant mass away from the mass region. This is crucial for understanding whether the band is due to triangle singularities or due to a resonance. Were it the latter, the band should remain, while it would not if it is due to the former.
1 More- Received 4 August 2019
DOI:https://doi.org/10.1103/PhysRevD.100.114010
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society