https://doi.org/10.1140/epja/s10050-023-01187-1
Regular Article - Theoretical Physics
Properties of kaon at non-zero temperature and baryon chemical potential
1
Department of Basic Sciences, Army NCO Vocational HE School, National Defense University, Altıeylül, 10185, Balıkesir, Turkey
2
Department of Natural and Mathematical Sciences, Özyeǧin University, 34794, Çekmeköy, Istanbul, Turkey
3
Department of Physics, University of Tehran, North Karegar Avenue, 14395-547, Tehran, Iran
4
Department of Physics, Doǧuş University, Dudullu-Ümraniye, 34775, Istanbul, Turkey
Received:
9
July
2023
Accepted:
4
November
2023
Published online:
14
November
2023
We investigate the spectroscopic properties of the strange particle kaon in the framework of hot and dense QCD. To this end, first, we find the perturbative spectral density, which is connected with both the temperature T and the baryon chemical potential 
. We include the non-perturbative operators as functions of temperature and baryon chemical potential up to mass dimension five. We perform the calculations in momentum space and use the quark propagator in the hot and dense medium. The numerical results at non-zero temperature and baryon chemical potential demonstrate that the mass of the particle rises considerably by increasing the baryon chemical potential at a fixed temperature (for both the zero and non-zero temperatures) up to approximately 
GeV. After this point, it starts to fall by increasing the baryon chemical potential and it apparently vanishes at 
(1.03–1.15) GeV for finite temperatures: The point of apparent vanishing moves to lower baryon chemical potentials by increasing the temperature. At zero temperature, the mass reaches to roughly a fixed value at higher baryon chemical potentials. On the other hand, the decay constant decreases considerably with respect to baryon chemical potential up to roughly GeV, but after this point, it starts to increase in terms of the baryon chemical potential at finite temperatures. At 
, the decay constant reaches to a fixed value at higher chemical potentials, as well. Regarding the dependence on the temperature we observe that, at fixed values of baryon chemical potentials, the mass and decay constant remain roughly unchanged up to 
MeV and 
MeV respectively, but after these points, the mass starts to fall and the decay constant starts to rise up to a critical temperature 
MeV, considerably. It is also seen that the obtained results for the mass and decay constant at 
are in good consistency with the existing experimental data. The observations are consistent with the QCD phase diagram in the 
plane.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
