Delta(1232) in piN -> pipiN reaction

Abstract

The contribution of Delta(1232) to the piN -> pipiN reaction is examined by making use of the chiral reduction formula developed by Yamagishi and Zahed. The influence of the pi-Delta-Delta and rho-N-Delta interactions on this reaction, which has not been regarded as important so far, is considered for all channels with the initial pi^{+ -}p states. The total cross sections are calculated to tree level for the energy up to T_{pi}=400 MeV. Although the pi-Delta-Delta and rho-N-Delta interactions give a small effect on the pi^{+}p -> pi^{+}pi^{+}n, pi^{-}p -> pi^{+}pi^{-}n and pi^{-}p -> pi^{0}pi^{0}p channels, the pi^{+ -}p -> pi^{+ -}pi^{0}p channels are found to be sensitive to these interactions.

19 pages, 6 figures, Version to appear in Phys. Rev. C. Part of introduction and summary are renewed. Some references are added and a few typos are corrected

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Cited by in corpus (11)

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• Dynamical coupled-channels study of pi N --> pi pi N reactions
• K* photoproduction off the nucleon: gamma N --> K* Lambda
• Pentaquark Theta^+(1540) production in gamma N --> K Anti-K N
• The reaction pi N to pi pi N in a meson-exchange approach
• The pi N -> pi pi N reaction around the N(1440) energy
• πN and ηp deexcitation channels of the N^* and Δbaryonic resonances between 1470 and 1680 MeV
• Gauge symmetric delta(1232) couplings and the radiative muon capture in hydrogen
• Master formula approach to broken chiral U(3)xU(3) symmetry
• Reggeized model for $\gamma p\to {\rho }^{-}{\Delta }^{++}(1232)$ photoproduction