ππPartial-Wave Analysis from Reactionsπ+p→π+π−Δ++andπ+p→K+K−Δ++at 7.1 GeV/c
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Abstract
We present results of an energy-dependent phase-shift analysis for $\ensuremath{\pi}\ensuremath{\pi}$ energies between 550 and 1150 MeV from reactions ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\Delta}}^{++}$ and ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\Delta}}^{++}$ at 7.1 GeV/c. The $I=0$ $s$ wave is parametrized in terms of a 2 \ifmmode\times\else\texttimes\fi{} 2 $M$-matrix coupling $\ensuremath{\pi}\ensuremath{\pi}$ and $K\overline{K}$ channels. All the obtained solutions rule out the possibility of a narrow $\ensuremath{\epsilon}$ resonance in the $\ensuremath{\rho}$ region and are characterized by a very rapid variation of the $I=0$ $s$-wave amplitude near $K\overline{K}$ threshold. We show that this rapid variation can be explained by a pole in the second Riemann sheet close to the $K\overline{K}$ threshold.
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