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The near threshold $\pi^- p \to \eta n$ reaction in an effective Lagrangian approach
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abstract
The near threshold $\pi^- p \to \eta n$ reaction is studied within an effective Lagrangian approach and the isobar model. By considering the contributions from $s$- and $u$-channel nucleon pole and $N^{*}(1535)$ resonance, the total and differential cross sections of the $\pi^- p \to \eta n$ reaction near threshold are calculated. Our theoretical results can fairly reproduce the current experimental data. It is also shown that while the center-of-mass energy lies in the range from the reaction threshold up to $1.65$ GeV, $s$-channel $N^{*}(1535)$ resonance plays the dominant role. The effect from nucleon pole is found to be small but the interference terms between the $N^*(1535)$ resonance and the nucleon pole are significant. The contributions from $t$-channel processes are negligible in the present calculation.
Forward citations
Cited by 2 Pith papers
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Roles of $\Delta(1232)$, $N^*(1520)$, and $N^*(1650)$ resonances in $\gamma p\to \pi^0 \pi^0 p$ reaction within an effective Lagrangian approach
A tree-level effective Lagrangian model with Delta(1232), N*(1520), and N*(1650) reproduces the LEPS2/BGOegg gamma p to pi0 pi0 p data, assigning Delta(1232) to s-channel nucleon-pole production and the two N* resonan...
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Exclusive $\eta$ production in proton-proton collisions at energies available at the GSI Facility for Antiproton and Ion Research
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