Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay

Abstract

We study theoretically the resonant structure of the double Cabibbo suppressed $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay. We start from an elementary production diagram, considered subleading in previous approaches, which cannot produce a final $K^{-}{K}^{+}$ pair at the tree level but which we show to be able to provide the strength of the decay through final meson-meson state interaction. The different meson-meson elementary productions are related through SU(3) and the final rescattering is implemented from a suitable implementation of unitary extensions of ChPT which generate dynamically the scalar resonances $f_0(980)$ and $a_0(980)$. We obtain a good agreement with recent experimental data from the LHCb collaboration with a minimal freedom in the fit and show the dominance of the $a_0(980)$ contribution close to the threshold of the $K^{-}{K}^{+}$ spectrum.

arXiv comment8 pages, 7 figures

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Cited by in corpus (6)

• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$