Abstract
It is very difficult for any nuclear model to pin down the saturation property and high-density equation of state (EOS) simultaneously because of high nonlinearity of the nuclear many-body problem. In this work, we propose, for the first time, to use the special property of light kaonic nuclei to characterize the relation between saturation property and high-density EOS. With a series of relativistic mean-field models, this special property is found to be the level inversion between orbitals 2S1/2 and 1D5/2 in light kaonic nuclei. This level inversion can serve as a theoretical laboratory to group the incompressibility at saturation density and the EOS at supra-normal densities simultaneously.
Highlights
The determination of the nuclear equation of state (EOS) with certain accuracy is crucial for the understanding of the phenomena related to relativistic heavy-ion collisions [1] and astrophysical objects, such as, neutron stars [2, 3], gravity waves [4], etc
We have investigated the ground-state properties in kaonic nuclei and its relationship with the nuclear EOS in the framework of relativistic mean-field (RMF) theory
Owing to the strong attraction between nucleons and K− meson, supra-normal nuclear density appears near the center of kaonic nuclei, and the structure of energy levels in kaonic nuclei becomes different from Mayer’s shell model
Summary
The determination of the nuclear equation of state (EOS) with certain accuracy is crucial for the understanding of the phenomena related to relativistic heavy-ion collisions [1] and astrophysical objects, such as, neutron stars [2, 3], gravity waves [4], etc. The large uncertainty of the high-density EOS in symmetric nuclear matter still has a large relative error of 50% as extracted from the data of the heavy-ion collisions [5]. Though the high nuclear density can naturally form in central neutron stars, neither can the celestial data give a sufficiently satisfactory constraint on the high-density EOS [1, 6]. Compared with the data at high densities extracted from heavy-ion collisions, the structural properties in the ground state of kaonic nuclei should be more precise for probing the high-density EOS. It is one of our aims to explore the relationship between the incompressibility and the stiffness of the high-density EOS by singling out some special structural information in kaonic nuclei.
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