Jun 5 – 9, 2023
Genova, Italy
Europe/Rome timezone

The $D_s^+$ decay into $\pi ^+ K_S^0 K_S^0 $ reaction and the I=1 partner of the $f_0(1710)$ state

Jun 7, 2023, 5:10 PM
DAD - Room 5L (Genova, Italy)

DAD - Room 5L

Genova, Italy

Contributed Light meson spectroscopy Light meson spectroscopy


Lianrong DAI


We have identified the decay modes of the $D_s^+ \to \pi^+ K^{*+} K^{*-} , \pi^+ K^{*0} \bar{K}^{*0}$ reactions producing a pion and two vector mesons. The posterior vector-vector interaction generates two resonances that we associate to the $f_0(1710)$ and the $a_0(1710)$ recently claimed, and they decay to the observed $K^+ K^-$ or $K_S^0 K_S^0$ pair, leading to the reactions $D_s^+ \to \pi^+ K^+ K^- , \pi^+ K_S^0 K_S^0$. The results depend on two parameters related to external and internal emission. We determine a narrow region of the parameters consistent with the large $N_c$ limit within uncertainties which gives rise to decay widths in agreement with experiment. With this scenario we make predictions for the branching ratio of the $a_0(1710)$ contribution to the $D_s^+ \to \pi^0 K^+ K_S^0$ reaction, finding values within the range of $(1.3 \pm 0.4)\times 10^{-3}$. Comparison of these predictions with coming experimental results on that latter reaction will be most useful to deepen our understanding on the nature of these two resonances.

Primary authors

Presentation materials

Peer reviewing