Role of the $N^{\ast }(2080)$ in $pp\to p{K}^{+}\Lambda (1520)$ and ${\pi }^{-}p\to K^0\Lambda (1520)$ reactions

Abstract

We investigate the $\Lambda (1520)$ hadronic production in the $pp\to p{K}^{+}\Lambda (1520)$ and ${\pi }^{-}p\to K^0\Lambda (1520)$ reactions within the effective Lagrangian method. For ${\pi }^{-}p\to K^0\Lambda (1520)$ reaction, in addition to the "background" contributions from $t-$channel $K^{\ast }$ exchange, $u-$channel ${\Sigma }^{+}$ exchange, and $s-$channel nucleon pole terms, we also consider the contribution from the nucleon resonance $N^{\ast }(2080)$ (spin-parity $J^P=3/2^{-}$), which has significant coupling to $K\Lambda (1520)$ channel. We show that the inclusion of the nucleon resonance $N^{\ast }(2080)$ leads to a fairly good description of the low energy experimental total cross section data of ${\pi }^{-}p\to K^0\Lambda (1520)$ reaction. From fitting to the experimental data, we get the $N^{\ast }(2080)N\pi$ coupling constant $g_{N^{\ast }(2080)N\pi }=0.14\pm 0.04$. By using this value and with the assumption that the excitation of $N^{\ast }(2080)$ is due to the ${\pi }^0$-meson exchanges, we calculate the total and differential cross sections of $pp\to p{K}^{+}\Lambda (1520)$ reaction. We also demonstrate that the invariant mass distribution and the Dalitz Plot provide direct information of the $\Lambda (1520)$ production, which can be tested by future experiments.

9 pages, 7 figures

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Cited by in corpus (8)

• Re-analysis of the $\Lambda (1520)$ photoproduction reaction
• Role of the possible ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ state in the $\Lambda p\to \Lambda p{\pi }^0$ reaction
• Role of the ${\Delta }^{\ast }(1940)$ in the ${\pi }^{+}p\to K^{+}{\Sigma }^{+}(1385)$ and $pp\to n{K}^{+}{\Sigma }^{+}(1385)$ reactions
• Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• The nucleon resonances in the $J/\psi \to p\bar{p}{\eta }^{\prime }$ decay
• The role of $N^{\ast }(2120)$ nucleon resonance in $K\Lambda (1520)$ photon and hadronic productions
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction