Partial wave analysis of $\psi(3686)\rightarrow K^{+}K^{-}\eta$

TL;DR

This paper presents the first partial wave analysis of the decay $\psi(3686) ightarrow K^+K^-\eta$ using a large data sample, identifying multiple resonances and measuring their properties to enhance understanding of meson spectroscopy.

Contribution

It introduces the first partial wave analysis of this decay channel and identifies new contributions from several resonances, including the $X(1750)$ as a $1^{--}$ state.

Findings

Observation of multiple resonances including $ ho(2150)$ and $K^*_2(1980)$.

Determination that $X(1750)$ is a $1^{--}$ resonance.

Measured masses, widths, and branching fractions for the decay and resonances.

Abstract

Using a sample of $(448.1\pm2.9)\times10^6$ $\psi(3686)$ events collected with the BESIII detector, we perform the first partial wave analysis of $\psi(3686)\rightarrow K^+K^-\eta$. In addition to the well established states, $\phi(1020)$, $\phi(1680)$, and $K_3^*(1780)$, contributions from $X(1750)$, $\rho(2150)$, $\rho_3(2250)$, and $K^*_2(1980)$ are also observed. The $X(1750)$ state is determined to be a $1^{--}$ resonance. The simultaneous observation of the $\phi(1680)$ and $X(1750)$ indicates that the $X(1750)$, with previous observations in photoproduction, is distinct from the $\phi(1680)$. The masses, widths, branching fractions of $\psi(3686)\rightarrow K^+K^-\eta$ and the intermediate resonances are also measured.