Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold

Abstract

We investigate the two-body reaction ${\pi }^{-}p\to K^0\Lambda$ within the effective Lagrangian approach and the isobar model. In addition to the "background" contributions from $t$-channel $K^{\ast }$ exchange, $u$-channel $\Sigma (1192)$ and ${\Sigma }^{\ast }(1385)$ exchanges, and $s$-channel nucleon pole terms, the contributions from the nucleon resonances $N^{\ast }(1535)$, $N^{\ast }(1650)$, and $N^{\ast }(1720)$ are investigated. It is shown that the inclusion of these nucleon resonances contributions leads to a good description of the experimental total and differential cross sections data at low energy region. The $s$-channel $N^{\ast }(1535)$, $N^{\ast }(1650)$, and $N^{\ast }(1720)$ resonances and the $t$-channel $K^{\ast }$ exchange give the dominant contributions below $W=1.76$ GeV, while the $u$-channel $\Sigma (1192)$ and ${\Sigma }^{\ast }(1385)$ exchanges give the minor contributions.

Published on Communications in Theoretical Physics

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Cited by in corpus (8)

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• Neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in ${\pi }^{-}p\to J/\psi n$ reaction
• $N^{\ast }$ resonances from $K\Lambda$ amplitudes in sliced bins in energy
• Nucleon resonances in the $\gamma p\to \varphi K^{+}\Lambda$ reaction near threshold
• 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
• The production of neutral $N^{\ast }(11052)$ resonance with hidden beauty from ${\pi }^{-}p$ scattering
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction