ππScattering up to 1.4 GeV of Dipion Mass

Abstract

$\pi \pi$ scattering up to 1.4 GeV of dipion mass is studied from the reactions ${\pi }^{-}p\to {\pi }^{-}{\pi }^{+}n$ and ${\pi }^{-}{\pi }^{\circ }p$ at 7 GeV/c, using the formalism of absorption-modified one-pion exchange (OPE) with dipion in $S$, $P$, and $D$ waves. We limit our analysis to small momentum transfers to the nucleon, including the nucleon-pole terms as background. The ${\rho }^0$, ${\rho }^{-}$, and $f^0$ mesons, and the ${\pi }^{-}{\pi }^{+}$ anomaly in the 1.0-1.2-GeV region are analyzed. The $S$-, $P$-, and $D$-wave $\pi \pi$ phase shifts and inelasticities, of isospin 0, 1, and 2, are obtained.