Data from the Fermilab E835 experiment have been used to study the reaction $\overline{p}p\to \eta \eta {\pi }^0$ at $5.2\mathrm{GeV}/c$. A sample of 22 million six photon events has been analyzed to construct the Dalitz plot containing $\sim 80k$ $\eta \eta {\pi }^0$ events. A partial wave analysis of the data has been done. Six $f_J$-states decaying into $\eta \eta$ and five $a_J$-states decaying into $\eta {\pi }^0$ are identified in the mass region $\sim 1.3$ and 2.4 GeV, and their masses, widths, and spins are determined by maximum likelihood analysis of the data. Two $f_0$ states are identified with the popular candidates for the lightest scalar glueball, $f_0(1500)$ and $f_0(1710)$.

• Received 4 January 2006

DOI:https://doi.org/10.1103/PhysRevD.73.052009