Amplitude analysis of theK−K+system produced in the reactionsπ−p→K−K+nandK−K+at 6 GeV/c

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Abstract

We have carried out an amplitude analysis of the ${K}^{\ensuremath{-}}{K}^{+}$ system produced in the reactions ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{K}^{+}n$ and ${\ensuremath{\pi}}^{+}n\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{K}^{+}p$ using data from a high-statistics experiment performed with the Argonne effective-mass spectrometer. Combining the results from the two reactions allows us to analyze the $\overline{K}K$ production amplitudes in terms of their isospin-zero and -one components. We use phenomenological arguments based on $t$ dependence and on the expected properties of the $P$ and $D$ waves to resolve ambiguities. Our favored solution exhibits an enhancement around 1300 MeV in the isospin-zero $S$ wave produced by $\ensuremath{\pi}$ exchange. In this solution the Argand plot for the $\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\rightarrow}\overline{K}KS$ wave changes rapidly above 1300 MeV, consistent with a resonance at 1425\ifmmode\pm\else\textpm\fi{}15 MeV with width 160\ifmmode\pm\else\textpm\fi{}30 MeV. We show that our solution is consistent with the features of neutral and charged $\overline{K}K$ systems found in other experiments.

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