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$f_0(980)$ production in $D_s^+ \rightarrow \pi^+ \, \pi^+ \, \pi^-$ and $D_s^+ \rightarrow \pi^+ \, K^+ \, K^-$ decays
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abstract
We study the $D_s^+ \rightarrow \pi^+ \, \pi^+ \, \pi^-$ and $D_s^+ \rightarrow \pi^+ \, K^+ \, K^-$ decays adopting a mechanism in which the $D_s^+$ meson decays weakly into a $\pi^+$ and a $q\bar{q}$ component, which hadronizes into two pseudoscalar mesons. The final state interaction between these two pseudoscalar mesons is taken into account by using the Chiral Unitary approach in coupled channels, which gives rise to the $f_0(980)$ resonance. Hence, we obtain the invariant mass distributions of the pairs $\pi^+ \pi^-$ and $K^+ K^-$ after the decay of that resonance and compare our theoretical amplitudes with those available from the experimental data. Our results are in a fair agreement with these data, and a $f_0(980)$ signal is seen in both the $\pi^+\pi^-$ and $K^+K^-$ distributions.
Forward citations
Cited by 2 Pith papers
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Scalar resonance contributions in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}\pi^{+}\pi^{-}$ reaction
In D_s1(2460)+ -> D_s+ pi+ pi-, a chiral unitary coupled-channel model reproduces the LHCb mass distributions and generates T_cbar-s and f0(500) as hadronic molecules.
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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).
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