The $K^{-}p\to \eta \Lambda$ reaction in an effective Lagrangian model

Abstract

We report on a theoretical study of the $K^{-}p\to \eta \Lambda$ reaction near threshold by using an effective Lagrangian approach. The role of $s-$channel $\Lambda (1670)$, $t-$channel $K^{\ast }$ 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 $\Lambda (1670)$ state and the background contribution from $t-$ and $u-$channel are not enough to describe the bowl structures in the angular distribution of $K^{-}p\to \eta \Lambda$ 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.

Published version

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Cited by in corpus (21)

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• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
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• Low energy reactions $K^{-}p\to {\Sigma }^0{\pi }^0$, $\Lambda {\pi }^0$, ${\bar{K}}^{0}n$ and the strangeness $S=-1$ hyperons
• Analysis of the Crystal Ball data on $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV
• The near threshold ${\pi }^{-}p\to \eta n$ reaction in an effective Lagrangian approach
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• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Nucleon resonance production in the $\gamma p\to p\eta \varphi$ reaction
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Role of $\Lambda (1670)$ in the $\gamma p\to K^{+}\eta \Lambda$ reaction near threshold
• The $\gamma p\to n{a}_2^{+}(1320)\to n{\rho }^0{\pi }^{+}$ reactions within an effective Lagrangian approach
• Effects of a non-zero strangeness-chemical potential in strong interaction models
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• Studying ${\Lambda }^{\ast }$ resonances in the $p\bar{p}\to \Lambda \bar{\Lambda }\eta$ reaction
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction