Observation of $a_0(1710)^+ \to K_S^0K^+$ in study of the $D_s^+\to K_S^0K^+\pi^0$ decay

TL;DR

This study presents the first amplitude analysis of the decay $D_s^+ o K_S^0K^+\pi^0$, revealing the $a_0(1710)^+$ resonance, measuring relative branching ratios, and providing a precise absolute branching fraction with data from BESIII.

Contribution

It reports the first observation of the $a_0(1710)^+$ in $D_s^+$ decay and offers detailed measurements of decay amplitudes and branching fractions.

Findings

Observation of $a_0(1710)^+$ in $D_s^+$ decay

Measured ratio of branching fractions for specific decay modes

Precise determination of the absolute branching fraction of $D_s^+ o K_S^0K^+\pi^0$

Abstract

Using $e^+e^-$ annihilation data corresponding to an integrated luminosity of 6.32 fb$^{-1}$ collected at center-of-mass energies between 4.178 GeV and 4.226 GeV with the BESIII detector, we perform the first amplitude analysis of the decay $D_s^+\to K_S^0K^+\pi^0$ and determine the relative branching fractions and phases for intermediate processes. We observe the $a_0(1710)^+$, the isovector partner of the $f_0(1710)$ and $f_0(1770)$ mesons, in its decay to $K_S^0K^+$ for the first time. In addition, we measure the ratio $\frac{\mathcal{B}(D_{s}^{+} \to \bar{K}^{*}(892)^{0}K^{+})}{\mathcal{B}(D_{s}^{+} \to \bar{K}^{0}K^{*}(892)^{+})}$ to be $2.35^{+0.42}_{-0.23\text{stat.}}\pm 0.10_{\rm syst.}$. Finally, we provide a precision measurement of the absolute branching fraction $\mathcal{B}(D_s^+\to K_S^0K^+\pi^0) = (1.46\pm 0.06_{\text{stat.}}\pm 0.05_{\text{syst.}})\%$.