Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-06-25
Phys.Rev.C76:065205,2007
Physics
Nuclear Physics
Nuclear Theory
17 pages, 5 figures. Version accepted by PRC. Some changes in the t-channel due to an error in the code
Scientific paper
10.1103/PhysRevC.76.065205
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 $n\leq 2$ 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.
He Jun
Saghai Bijan
Zhao Qiang
Zhong Xian-Hui
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