$Ξ(1690)^-$ resonance production via $K^-p \to K^+K^-Λ$

In this talk, we investigate $Ξ(1690)^-$ production from the $K^-p\to K^+K^-Λ$ reaction wit the effective Lagrangian method and consider the $s$- and $u$-channel $Σ/Λ$ ground states and resonances for the $Ξ$-pole contributions, in addition to the $s$-channel $Λ$, $u$-channel nucleon pole, and $t$-channel $K^-$-exchange for the $ϕ$-pole contributions. The $Ξ$-pole includes $Ξ(1320)$, $Ξ(1535)$, $Ξ(1690)(J^p=1/2^-)$, and $Ξ(1820)(J^p=3/2^-)$. We compute the Dalitz plot density of $(d^2σ/dM_{K^+K^-}dM_{K^-Λ}$ at 4.2 GeV$/c$) and the total cross sections for the $K^-p\to K^+K^-Λ$. Employing the parameters from the fit, we present the cross sections for the two-body $K^-p\to K^+Ξ(1690)^-$ reaction near the threshold. We also demonstrate that the Dalitz plot analysis for $p_{K^-}=1.915 \sim2.065$ GeV/c makes us to explore direct information for $Ξ(1690)^-$ production, which can be done by future $K^-$ beam experiments.

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