Study of $f_{0}$ decays into four neutral pions

Abstract.

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.