Partial-wave analysis of the reactionπN→ππNin the c.m energy range 1300-2000 MeV

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Abstract

A partial-wave analysis of the reaction $\ensuremath{\pi}N\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}N$ has been carried out in the energy region 1300-2000 MeV. Two continuous solutions have been found; they are very similar in regions where data exist, but differ in the continuation of amplitudes through a gap between our low- and high-energy data. The second solution ("B") gives a much better fit to the data. These new partial-wave amplitudes provide important information on the inelastic couplings of the nucleon resonances to the $N\ensuremath{\rho}$, $N\ensuremath{\epsilon}$, and $\ensuremath{\Delta}\ensuremath{\pi}$ channels. A new resonance, ${D}_{13}(1700)$, long predicted by the quark model, has been observed coupling to two inelastic channels---$\ensuremath{\epsilon}N$ and $\ensuremath{\Delta}\ensuremath{\pi}$, and the existence of a ${P}_{13}(1700)$ state is corroborated. Our preferred solution indicates a second new resonance, ${P}_{33}(1700)$, coupled strongly to the $\ensuremath{\Delta}\ensuremath{\pi}$ channel.

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