Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances

Abstract

The reaction $K^{-}p\to \Lambda \eta$ at low energies is studied with a chiral quark model approach. Good descriptions of the existing experimental data are obtained. It is found that $\Lambda (1670)$ dominates the reaction around threshold. Furthermore, $u$- and $t$-channel backgrounds play crucial roles in this reaction as well. The contributions from the $D$-wave state $\Lambda (1690)$ are negligibly small for its tiny coupling to $\eta \Lambda$. To understand the strong coupling properties of the low-lying negative parity $\Lambda$ resonances extracted from the $\bar{K}N$ scattering, we further study their strong decays. It is found that these resonances are most likely mixed states between different configurations. Considering these low-lying negative parity $\Lambda$ resonances as mixed three-quark states, we can reasonably understand both their strong decay properties from Particle Data Group and their strong coupling properties extracted from the $\bar{K}N$ scattering. As a byproduct, we also predict the strong decay properties of the missing $D$-wave state $|\Lambda {\frac{3}{2}}^{-}{>}_3$ with a mass of $\sim 1.8$ GeV. We suggest our experimental colleagues search it in the $\Sigma (1385)\pi$ and $\Sigma \pi$ channels.

11 pages and 4 figures

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Cited by in corpus (6)

• Understanding the newly observed ${\Omega }_c$ states through their decays
• Strong and radiative decays of the doubly charmed baryons
• Neutral pion photoproduction on the nucleon in a chiral quark model
• Combined analysis of the ${\pi }^{-}p\to K^0\Lambda$, $\eta n$ reactions in a chiral quark model
• Role of $\Lambda (1670)$ in the $\gamma p\to K^{+}\eta \Lambda$ reaction near threshold
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region