Configuration mixing in strange tetraquarks $Z_{cs}$

Kavli Affiliate: Jonathan L. Rosner

| First 5 Authors: Marek Karliner, Jonathan L. Rosner, , ,

| Summary:

The BESIII Collaboration has observed a candidate for a $c bar c s bar u$
tetraquark $Z_{cs}$ at $(3982.5^{+1.8}_{-2.6} pm 2.1)$ MeV and width
$(12.8^{+5.3}_{-4.4} pm 3.0)$ MeV, while the LHCb Collaboration has observed a
$Z_{cs}$ candidate in the $jpsi K^-$ channel with mass of $(4003 pm 6
^{+4}_{-14})$ MeV and width $(131 pm 15 pm 26)$ MeV. In this note we examine
the possibility that these two states are distinct eigenstates of a mixing
process similar to that which gives rise to two axial-vector mesons labeled by
the Particle Data Group $K_1(1270)$ and $K_1(1400)$. The main point is that on
top of a $bar c c$ pair, the $Z_{cs}$ states have the same light quark content
as the $K_1$-s. In the compact tetraquark picture this implies several
additional states, analogous to members of the $K_1$ nonet. These states have
not yet been observed, nor are they required in the molecular approach. Thus
experimental discovery or exclusion of these extra states will be a critical
test for competing models of exotic mesons with hidden charm.

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