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We investigate $\Xi(1690)^-$ production from the $K^-p\to K^+K^-\Lambda$reaction within the effective Lagrangian approach at the tree-level Bornapproximation. We consider the $s$- and $u$-channel $\Sigma/\Lambda$ groundstates and resonances for the $\Xi$-pole contributions, in addition to the$s$-channel $\Lambda$, $u$-channel nucleon pole, and $t$-channel $K^-$-exchangefor the $\phi$-pole contributions. The $\Xi$-pole includes $\Xi(1320)$,$\Xi(1535)$, $\Xi(1690)(J^p=1/2^-)$,and $\Xi(1820)(J^p=3/2^-)$. We calculatethe Dalitz plot density of $(d^2\sigma/dM_{K^+K^-}dM_{K^-\Lambda}$ at 4.2GeV$/c$) and the total cross sections for the $K^-p\to K^+K^-\Lambda$ reactionnear the threshold. The calculation results are in good agreement withpreviously acquired experimental data. Using the parameters from the fit, wepresent the total and differential cross sections for the two-body $K^-p\toK^+\Xi(1690)^-$ reaction near the threshold. In our calculation, a strongenhancement at backward $K^+$ angles is predicted because of the dominant$u$-channel contribution. We also demonstrate that the Dalitz plot analysis for$p_{K^-}=1.915 -- 2.065$ GeV/c enables us to access direct informationregarding $\Xi(1690)^-$ production, which can be tested by future $K^-$ beamexperiments. The possible spin-parity states of $\Xi(1690)^-$ are brieflydiscussed as well.

$\Xi(1690)^-$ production in the $K^-p\to K^+K^-\Lambda$ reaction process near threshold