Isobar-model partial-wave analysis ofπN→ππNin the c.m. energy range 1320-1930 MeV

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Abstract

We study the reactions $\ensuremath{\pi}N\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}N$ in the center-of-mass energy range 1320-1930 MeV within the framework of the isobar model. The present analysis includes over 30% more events than the most extensive previous analysis. Data for ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}n$, ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{\ensuremath{-}}p$, ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{+}p$, and ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}n$ are simultaneously fitted assuming production of $\ensuremath{\epsilon}$, $\ensuremath{\rho}$, $\ensuremath{\Delta}({P}_{33})$ and ${N}^{*}({P}_{11})$. The cross section for ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}n$ is predicted and found to be in good agreement with experiment. $\ensuremath{\pi}N\ensuremath{\rightarrow}\ensuremath{\pi}{N}^{*}$ amplitudes for $I=\frac{1}{2}$ are investigated for the first time. We confirm the existence of a significant $\ensuremath{\pi}{N}^{*}$ decay for the second ${P}_{33}$ resonance and determine that $\ensuremath{\pi}{N}^{*}$ is the dominant inelastic channel for the ${P}_{31}$ partial wave. The $\ensuremath{\rho}N$ decay of the ${G}_{17}$ wave is observed for the first time. Evidence is found for unestablished resonances near 1900 MeV in the ${S}_{11}$, ${P}_{11}$, ${P}_{13}$, and ${F}_{15}$ partial waves. We also discuss evidence for a second ${F}_{35}$ resonance. Signs of resonant amplitudes determined from this analysis are compared with results of previous analyses and with predictions from several models.

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