Analysis of the Crystal Ball data on $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV

Abstract

With an effective Lagrangian approach, we analyze the $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction to study the $\Lambda$ hyperon resonances by fitting the Crystal Ball data on differential cross sections and ${\Sigma }^0$ polarization with the center-of-mass energies of $1536\sim 1676$ MeV. Besides well established PDG 4-star $\Lambda$ resonances around this energy range, the $\Lambda (1600){\frac{1}{2}}^{+}$ resonance, listed as a 3-star resonance in PDG, is found to be definitely needed. In addition, there is strong evidence for the existence of a new $\Lambda ({\frac{3}{2}}^{+})$ resonance around 1680 MeV.

arXiv comment18 pages, 7 figures

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Cited by in corpus (4)

• Coupled-Channel Model for $\bar{K}N$ Scattering in the Resonant Region
• Analysis of ${\Sigma }^{\ast }$ via isospin selective reaction $K_{L}p\to {\pi }^{+}{\Sigma }^0$
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction
• Penta-quark States with Strangeness, Hidden Charm and Beauty