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Low energy reactions $K^-p\rightarrowΣ^0π^0$, $Λπ^0$, $\bar{K}^0n$ and the strangeness $S=-1$ hyperons

A combined study of the reactions $K^-p\rightarrow Σ^0π^0$, $Λπ^0$ and $\bar{K}^0n$ at low energies is carried out with a chiral quark-model approach. Good descriptions of the experimental observations are obtained. The roles of the low-lying strangeness $S=-1$ hyperon resonances in these processes are carefully analyzed. We find that: (i) In the $K^-p\rightarrow Σ^0π^0$ process, both $Λ(1405)S_{01}$ and $Λ(1520)D_{03}$ play dominant roles. Significant contributions of $Λ(1670)S_{01}$ and $Λ(1690)D_{03}$ could be seen around their threshold; (ii) In the $K^-p\rightarrow Λπ^0$ process, some obvious evidence of $Σ(1775)D_{15}$ and $Σ(1750)S_{11}$ could be found. Some hints of $Σ(1620)S_{11}$ might exist in the reaction as well. $Σ(1750)S_{11}$ and $Σ(1620)S_{11}$ should correspond to the representations $[70,^48]S_{11}$ and $[70,^28]S_{11}$, respectively; (iii) In the $K^-p\rightarrow \bar{K}^0n$ process, the dominant resonances are $Λ(1405)$ and $Λ(1520)$. Some evidence of $Λ(1690)D_{03}$, $Σ(1670)D_{13}$ and $Σ(1775)D_{15}$ could be seen as well. A weak coupling of $Λ(1670)S_{01}$ to $\bar{K}N$ should be needed in the reactions $K^-p\rightarrow Σ^0π^0$ and $\bar{K}^0n$. Furthermore, by analyzing these reactions, we also find that the $u$-, t-channel backgrounds and s-channel Born term play crucial roles in the reactions.