The near threshold ${\pi }^{-}p\to \eta n$ reaction in an effective Lagrangian approach

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 $N^{\ast }(1535)$ 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 $N^{\ast }(1535)$ resonance plays the dominant role. The effect from nucleon pole is found to be small but the interference terms between the $N^{\ast }(1535)$ resonance and the nucleon pole are significant. The contributions from $t$-channel processes are negligible in the present calculation.

5 pages, 4 figures, Accepted by Modern Physics Letters A

References in corpus (7)

• The role of $N^{\ast }(1535)$ in $pp\to pp\varphi$ and ${\pi }^{-}p\to n\varphi$ reactions
• The role of ${\Delta }^{++\ast }(1620)$ resonances in $pp\to n{K}^{+}{\Sigma }^{+}$ reaction and its important implications
• Study of π^{-}p \to ηn at low energies in a chiral constituent quark model
• The role of $N^{\ast }(1535)$ in ${\eta }^{\prime }$ production
• Reply to Comment on "Mass and K-Lambda Coupling of the N*(1535)"
• Evidence of N*(1535) resonance contribution in the pn->dϕreaction
• Evidence for a narrow $D_{03}$ state in $K^{-}p\to \eta \Lambda$ near threshold

Cited by in corpus (7)

• Role of the ${\Lambda }_c^{+}(2940)$ in the ${\pi }^{-}p\to D^{-}{D}^{0}p$ reaction close to threshold
• Effects of a $N^{\ast }$ resonance with hidden charm in the ${\pi }^{-}p\to D^{-}{\Sigma }_c^{+}$ reaction near threshold
• Neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in ${\pi }^{-}p\to J/\psi n$ reaction
• Nucleon resonances in the $\gamma p\to \varphi K^{+}\Lambda$ reaction near threshold
• Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold
• Combined analysis of the ${\pi }^{-}p\to K^0\Lambda$, $\eta n$ reactions in a chiral quark model
• Near-threshold $\eta$ production in $pp$ collisions