Partial wave analysis of theπ0π0system produced inπ−pcharge exchange collisions

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Abstract

A partial wave analysis of the ${\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$ system produced in the charge exchange reaction ${\ensuremath{\pi}}^{\ensuremath{-}}\stackrel{\ensuremath{\rightarrow}}{p}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}n$ at an incident momentum of 18.3 $\mathrm{GeV}/c$ is presented as a function of the ${\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$ invariant mass ${m}_{{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}}$ and momentum transfer squared $|t|$ from the incident ${\ensuremath{\pi}}^{\ensuremath{-}}$ to the outgoing ${\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$ system. For small values of $|t|,$ the S-wave intensity shows a broad enhancement at low ${m}_{{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}}$ with a sharp dip in the vicinity of the ${f}_{0}(980).$ A dip is also observed in the vicinity of the ${f}_{0}(1500).$ There is a rapid variation of the S to ${D}_{0}$ relative phase difference in these mass regions. For large values of $|t|,$ the ${f}_{0}(980)$ appears as a bump. The ${f}_{2}(1270),$ observed in D waves, is produced dominantly by $\ensuremath{\pi}$ exchange at low values of $|t|$ and ${a}_{2}$ exchange at higher values of $|t|.$

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