Detecting the pure triangle sigularity effect through the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process

Abstract

In this work, the triangle singularity mechanism is investigated in the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process. The triangle loop composed by $J/\psi$, $\eta$ and $p$ has a singularity in the physical kinematic range for the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process, and it would generate a very narrow peak in the invariant mass spectrum of $p\eta (\pi )$ around $1.56387$ GeV, which is far away from both the threshold and relative resonances. In these processes, all the involved vertices are constrained by the experimental data. Thus, we can make a precise model independent prediction here. It turns out that the peak in the $p\eta$ invariant mass spectrum is visible, while it is very small in the $p{\pi }^0$ invariant mass spectrum. We expect this effect shown in $p\bar{p}\eta$ final state can be observed by the Beijing Spectrometer (BESIII) and Super Tau-Charm Facility (STCF) in the future.

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Cited by in corpus (3)

• The role of triangle singularity in isospin breaking process $J/\psi \to \Lambda \bar{\Lambda }\pi$ and the possible evidence of ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ states
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Triangle mechanism in the decay process $B_0\to J/\psi K^0{f}_0(980)(a_0(980))$