A quark-level hadronization plus meson rescattering model reproduces why D_s -> pi+ pi+ pi- contains only the f0(980) resonance while D+ -> pi+ pi+ pi- contains both f0(500) and f0(980).
Dalitz Plot Analysis of D_s+ -> pi+ pi- pi+
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abstract
A Dalitz plot analysis of approximately 13,000 Ds+ decays to pi+pi-pi+ has been performed. The analysis uses a 384 fb-1 data sample recorded by the BaBar detector at the PEP-II asymmetric-energy e+e- storage ring running at center of mass energies near 10.6 GeV. Amplitudes and phases of the intermediate resonances which contribute to this final state are measured. A high precision measurement of the ratio of branching fractions is performed: BR(Ds+ -> pi+pi-pi+)/BR(Ds+ -> K+ K- pi+)=0.199 +/- 0.004 +/- 0.009. Using a model-independent partial wave analysis, the amplitude and phase of the S-wave have been measured.
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Roles of $f_{0}(500)$ and $f_{0}(980)$ in the $D_{(s)}^{+}\rightarrow\pi^{+}\pi^{+}\pi^{-}$ decays
A quark-level hadronization plus meson rescattering model reproduces why D_s -> pi+ pi+ pi- contains only the f0(980) resonance while D+ -> pi+ pi+ pi- contains both f0(500) and f0(980).