Diabatic Dynamical Diquark Model of Hidden-Strangeness Tetraquarks

We generalize our recent analysis of hidden-strangeness tetraquarks within the dynamical diquark model from its adiabatic form (in which each state is described solely by a diquark-antidiquark potential) to its diabatic form (which incorporates effects of di-hadron thresholds upon the states). We tabulate all relevant thresholds and compute the di-hadron content of each predicted state. Our results produce no particular hidden-strange tetraquark candidate whose structure is dominated by di-hadron structure, in contrast to the charm sector, where many exotic states are strongly associated with such thresholds: The hidden-strange states tend to remain compact and less influenced by di-hadron thresholds. Multiple states above 2~GeV with peculiar decay properties, including $\phi (2170)$, $f_2(2340)$, and $\eta (2370)$, continue to serve as excellent hidden-strange tetraquark candidates.