Study of the decay $D_s^+\to K_S^0K_S^0\pi^+$ and observation an isovector partner to $f_0(1710)$

TL;DR

This study performs the first amplitude analysis of the decay $D_s^+ o K_S^0 K_S^0 o ext{final state}$, revealing an enhancement near 1.7 GeV/$c^2$ that suggests an isovector partner to $f_0(1710)$, with a measured branching fraction of about 0.68%.

Contribution

It provides the first amplitude analysis of $D_s^+ o K_S^0 K_S^0 ext{pi}^+$ decay and reports the observation of an isovector partner to $f_0(1710)$.

Findings

Observation of an enhancement near 1.7 GeV/$c^2$ in $K_S^0 K_S^0$ spectrum.

First amplitude analysis of this decay mode.

Branching fraction measured as approximately 0.68%.

Abstract

Using $e^+e^-$ annihilation data corresponding to a total integrated luminosity of 6.32 $\rm fb^{-1}$ collected at center-of-mass energies between 4.178 and 4.226 GeV with the BESIII detector, we perform an amplitude analysis of the decay $D_{s}^{+} \to K_{S}^{0}K_{S}^{0}\pi^{+}$ for the first time. An enhancement is observed in the $K_{S}^{0}K_{S}^{0}$ mass spectrum near 1.7 GeV/$c^2$, which was not seen in $D_{s}^{+} \to K^+K^-\pi^{+}$ in an earlier work, implying the existence of an isospin one partner of the $f_0(1710)$. The branching fraction of the decay $D_{s}^{+}\to K_{S}^{0}K_{S}^{0}\pi^{+}$ is determined to be $\mathcal{B}(D_{s}^{+} \to K_{S}^{0}K_{S}^{0}\pi^{+})=(0.68\pm0.04_{\rm stat}\pm0.01_{\rm syst})\%$.