Scalar mesons in ${\eta }^{\prime }\to 3{\pi }^0,{\pi }^0{\pi }^{+}{\pi }^{-}$ decays

Abstract

The decays ${\eta }^{\prime }\to 3{\pi }^0$ and ${\pi }^0{\pi }^{+}{\pi }^{-}$ were consider in isobar model approach. Branching ratio and Dalitz-plot shape of the decay ${\eta }^{\prime }\to 3{\pi }^0$ can be explain by $a0$- and $\sigma$-meson contributions. The $\sigma$ meson term is needed for the Dalitz-plot distribution reconstruction. The branching ratio of the decay ${\eta }^{\prime }\to {\pi }^0{\pi }^{+}{\pi }^{-}$ can be calculated in the same isobar framework. The prediction for the Dalitz-plot of this decay is shown which strongly dependents from model parameters.

10 pages, 6 figures

References in corpus (8)

• Mass and width of the lowest resonance in QCD
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• Hadronic eta and eta-prime decays
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• Observation of ${\eta }^{\prime }$ decays to ${\pi }^{+}{\pi }^{-}{\pi }^0$ and $π^+π^-\e^+e^-$
• Light scalar mesons in QCD
• The eta-prime -> eta pi pi decay in U(3) chiral perturbation theory

Cited by in corpus (1)

• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$