Hidden-strangeness tetraquarks in the dynamical diquark model

The dynamical diquark model describes multiquark exotic hadrons in terms of diquark components nucleated by heavy quarks and successfully explains multiple features of hidden-charm and hidden-bottom exotics. Here, we apply the model to the marginally heavy case of hidden-strange states to probe whether mesons near 2 GeV with peculiar properties, such as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>ϕ</a:mi><a:mo stretchy="false">(</a:mo><a:mn>2170</a:mn><a:mo stretchy="false">)</a:mo></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>f</e:mi><e:mn>2</e:mn></e:msub><e:mo stretchy="false">(</e:mo><e:mn>2340</e:mn><e:mo stretchy="false">)</e:mo></e:math>, and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>X</i:mi><i:mo stretchy="false">(</i:mo><i:mn>2370</i:mn><i:mo stretchy="false">)</i:mo></i:math>, are possible tetraquark candidates. We calculate spin-multiplet average masses using potentials obtained through lattice simulations and quark models, and we also describe the detailed spectra of the expected multiplets as a diagnostic to discern the nature of future hadrons likely to be discovered in this mass region by experiments at facilities such as BESIII, JLab, and the EIC.