The $K^- p \rightarrow ηΛ$ reaction in an effective Lagrangian model

We report on a theoretical study of the $K^- p \to ηΛ$ reaction near threshold by using an effective Lagrangian approach. The role of $s-$channel $Λ(1670)$, $t-$channel $K^*$ and $u-$channel proton pole diagrams are considered. We show that the total cross sections data are well reproduced. However, only including the $s-$wave $Λ(1670)$ state and the background contribution from $t-$ and $u-$channel are not enough to describe the bowl structures in the angular distribution of $K^- p \to ηΛ$ reaction, which indicates that there should be higher partial waves contributing to this reaction in some energy region. Indeed, if we considered the contributions from a $D_{03}$ resonance, we can describe the bowl structures, however, a rather small width ($\sim 2$ MeV) of this resonance is needed.

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