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The sensitive correlations between the low-density halo structure and thehigh-density properties of the nuclear equation of state (EOS) are constructedin light kaonic nuclei with the relativistic mean-field theory. Morespecifically, the $1p_{1/2}$ halo spreads out linearly with increasing thepressure and sound velocity square at supra-normal densities and quadraticallywith decreasing the incompressibility at saturation density. These resultssuggest that the novel halo in light kaonic nuclei can serve as a sensitiveindicator of the nuclear EOS of symmetric matter at supra-normal densities.

Novel halos in light kaonic nuclei as an indicator of nuclear equation of state at supra-normal densities