$\Xi (1690{)}^{-}$ resonance production via $K^{-}p\to K^{+}{K}^{-}\Lambda$

Abstract

In this talk, we investigate $\Xi (1690{)}^{-}$ production from the $K^{-}p\to K^{+}{K}^{-}\Lambda$ reaction wit the effective Lagrangian method and consider the $s$- and $u$-channel $\Sigma /\Lambda$ ground states and resonances for the $\Xi$-pole contributions, in addition to the $s$-channel $\Lambda$, $u$-channel nucleon pole, and $t$-channel $K^{-}$-exchange for the $\varphi$-pole contributions. The $\Xi$-pole includes $\Xi (1320)$, $\Xi (1535)$, $\Xi (1690)(J^p=1/2^{-})$, and $\Xi (1820)(J^p=3/2^{-})$. We compute the Dalitz plot density of $(d^2\sigma /d{M}_{K^{+}{K}^{-}}d{M}_{K^{-}\Lambda }$ at 4.2 GeV$/c$) and the total cross sections for the $K^{-}p\to K^{+}{K}^{-}\Lambda$. Employing the parameters from the fit, we present the cross sections for the two-body $K^{-}p\to K^{+}\Xi (1690{)}^{-}$ reaction near the threshold. We also demonstrate that the Dalitz plot analysis for $p_{K^{-}}=1.915\sim 2.065$ GeV/c makes us to explore direct information for $\Xi (1690{)}^{-}$ production, which can be done by future $K^{-}$ beam experiments.

Comments: 5 pages, 3 figures, proceedings for QNP2019