Study of π^{-}p \to ηn at low energies in a chiral constituent quark model

Abstract

A chiral quark model approach is extended to the study of the $\pi N$ scattering at low energies. The process of ${\pi }^{-}p\to \eta n$ near threshold is investigated. The model is successful in describing the differential cross sections and total cross section near the $\eta$ production threshold. The roles of the resonances in $n\le 2$ shells are clarified. Near threshold, the $S_{11}(1535)$ dominates the reactions, while the interferences from the $S_{11}(1650)$ turn out to be destructive around $W\lesssim 1.6$ GeV. The $D_{13}(1520)$ is crucial to give correct shapes of the differential cross sections. The nucleon pole term contributions are significant. The $P_{11}(1710)$ plays an important role around the c.m. energy $W=1.7$ GeV, it is crucial to produce an enhancement in the region of $W>1.6$ GeV as suggested by the data for total cross section. The $t$-channel is negligible in the reactions.

17 pages, 5 figures. Version accepted by PRC. Some changes in the t-channel due to an error in the code

References in corpus (3)

• eta-photoproduction in the resonance energy region
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
• Quarks, diquarks and QCD mixing in the $N^{\ast }$ resonance spectrum

Cited by in corpus (9)

• Charmed baryon strong decays in a chiral quark model
• Strong decays of heavy-light mesons in a chiral quark model
• Strong and radiative decays of the doubly charmed baryons
• Photoproduction of $\eta$ mesons off neutrons from a deuteron target
• Coupled-channels study of the ${\pi }^{-}p\to \eta n$ process
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Understanding the newly observed ${\Xi }_c^0$ states through their decays
• Chiral constituent quark model study of the process $\gamma p\to \eta p$
• Possible molecular states from the $N\Delta$ interaction