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The role of triangle singularity in isospin breaking process J/psi to Λ bar{Λ} π and the possible evidence of Sigma^*(frac{1}{2}^-) states
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The role of triangle singularity in isospin breaking process J/psi to Λ bar{Λ} π and the possible evidence of Sigma^*(frac{1}{2}^-) states
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In this study, the impact of triangle singularity is investigated in the isospin-breaking process $J/\psi \to \Lambda \bar{\Lambda} \pi$. The triangle singularity is found to play a significant role in the process, resulting in the creation of a resonance-like structure around 1.4 GeV in the $\Lambda\pi(\bar{\Lambda}\pi)$ invariant mass spectrum. To amplify the impact of this triangle singularity, the presence of two $\Sigma^*(\frac{1}{2}^-)$ states around 1.4 GeV and 1.6 GeV is essential, yet these states have not been definitively identified in the current baryon spectrum. We recommend that experiments, particularly the Beijing Spectrometer (BESIII) and the future Super Tau-Charm Factory (STCF), to investigate the process $J/\psi \to \Lambda \bar{\Lambda} \pi$ to offer direct evidences for our predicted triangle singularity and additional evidence regarding the $\Sigma(\frac{1}{2}^-)$ states.
Forward citations
Cited by 1 Pith paper
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Role of the $\Sigma(1430)(1/2^-)$ in the $J/\psi \to \Lambda \bar{\Lambda} \pi^0$ reaction
The isospin-violating J/ψ→ΛΛ̄π⁰ decay is shown to selectively produce the dynamically-generated Σ(1430) resonance while suppressing the conventional Σ(1385) state, matching limited BESIII data.
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