Speaker
Mr
Hao-Jie Jing
(ITP,CAS)
Description
BESIII Collaboration has reported the observation of $a_0^0(980)-f_0(980)$ mixing. From the Dalitz plot of BESIII's paper for the decay $\eta \rightarrow \gamma \gamma$, one can see that there is a peak around $1.4$ GeV on $\pi^0 \phi$ distribution. In general, this peak can be interpreted as a dynamically resonance state or a kinematic effect. In this paper, by using the effective Lagrangian method to calculate a triangle diagram includes $K^*\bar{K}K$ loop for isospin breaking process $J/\psi \rightarrow \eta \pi^0 \phi$, we show that there is a peak appears in the Dalitz plot where the invariant mass of $\pi^0\phi$ around $1.4$ GeV by virtue of the triangle singularity. This may explain the peak around $1.4$ GeV of BESIII's experimental results. But whether the peak is the effect of triangle singularity or a resonance state requires further experimental results.
Primary author
Mr
Hao-Jie Jing
(ITP,CAS)
