Delta(1232) in piN -> pipiN reaction

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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19 pages, 6 figures, Version to appear in Phys. Rev. C. Part of introduction and summary are renewed. Some references are adde

Scientific paper

10.1103/PhysRevC.69.025206

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.

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