Abstract

We investigate the $D_{s}^{+} \rightarrow K^{+} K^{-} \pi^{+}$ decay theoretically with the final state interactions, which is based on the chiral unitary approach and takes into account the external and internal $W$-emission mechanisms at the quark level. Only considering three resonances contributions, the $f_0(980)$ in $S$-wave, the $\bar {K}^{*}(892)^{0}$ and $\phi(1020)$ in $P$-wave, one can make a good description of the recent experimental data from BESIII Collaboration, where the contribution from $S$-wave is found to be small. Besides, we also make a calculation of the corresponding branching fractions, which are consistent with the results of BESIII Collaboration and Particle Data Group.

Highlights

  • The weak decays of heavy mesons have drawn much attention in experiments for understanding the hadronic decay properties and the resonance productions of the decay processes

  • We investigate the Dþs → KþK−πþ decay theoretically with the final state interactions, which is based on the chiral unitary approach and takes into account the external and internal W-emission mechanisms at the quark level

  • We make a calculation of the corresponding branching fractions, which are consistent with the results of the BESIII Collaboration and Particle Data Group

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Summary

INTRODUCTION

The weak decays of heavy mesons have drawn much attention in experiments for understanding the hadronic decay properties and the resonance productions of the decay processes. [29] proposed an internal W-emission mechanism to explain the process Dþs → πþπ0η, where the resonances a0ð980Þþ and a0ð980Þ0 were dynamically generated utilizing the coupled channel interaction of KKand πη in the final state interactions. How the two-body invariant mass distributions could be affected by the different weights of the internal and external W-emission mechanisms in the study of the reactions Dþ → πþηη and Dþ → πþπ0η [36], where the future experimental data were expected to be helpful to pin down the reaction mechanisms and the contribution of the a0ð980Þ resonance.

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