Study of $D_{s}^{+} \rightarrow K^{+} K^{-} \pi^{+}$ decay

TL;DR

This paper theoretically analyzes the decay $D_{s}^{+} ightarrow K^{+} K^{-} \pi^{+}$ using a chiral unitary approach, considering final state interactions and specific resonances, successfully matching experimental data and branching ratios.

Contribution

It introduces a theoretical model incorporating final state interactions and specific resonances to describe the decay, aligning well with experimental observations.

Findings

The $f_0(980)$ contribution is small in the decay.

The model accurately reproduces BESIII data.

Calculated branching fractions agree with experimental and PDG values.

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.