Study of \(f_{0}\) decays into four neutral pions

A simultaneous analysis of two different \(5\pi\) final states from \(\bar{p}N\) annihilation at rest is used to study the decays of isoscalar \(0^{++}\) states into \(4\pi^{0}\). The data demand two scalar states, the \(f_{0}(1370)\) with \(m=1395\pm 40 \mathrm{MeV/c^{2}}\), \(\Gamma=275 \pm 55 \mathrm{MeV/c^{2}}\) and the \(f_{0}(1500)\) with mass and width compatible with previous findings. Apart from the dominant scalar intensity, the \(\pi\)(1300) plays an important role in the 5\(\pi\) dynamics. We find a mass of \(m=1375\pm 40 \mathrm{MeV/c^{2}}\) and a width of \(\Gamma=268 \pm 50 \mathrm{MeV/c^{2}}\) with a dominant decay into \(\rho\pi\). The \((\pi\pi)_{s}\pi\) decay of the \(\pi(1300)\) is less than 15% of its \(\rho\pi\) decay.