Kaons and antikaons in isospin asymmetric dense resonance matter at finite temperature

We study the in-medium properties of kaons and antikaons in isospin asymmetric hot and dense resonance matter within the chiral SU(3) hadronic mean field model. Along with nucleons and hyperons, the interactions of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>K</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mover accent="true"><c:mi>K</c:mi><c:mo stretchy="false">¯</c:mo></c:mover></c:math> mesons with all decuplet baryons (<g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mi mathvariant="normal">Δ</g:mi><g:mrow><g:mo>+</g:mo><g:mo>+</g:mo><g:mo>,</g:mo><g:mo>+</g:mo><g:mo>,</g:mo><g:mn>0</g:mn><g:mo>,</g:mo><g:mo>−</g:mo></g:mrow></g:msup><g:mo>,</g:mo><g:msup><g:mi mathvariant="normal">Σ</g:mi><g:mrow><g:mo>*</g:mo><g:mo>±</g:mo><g:mo>,</g:mo><g:mn>0</g:mn></g:mrow></g:msup><g:mo>,</g:mo><g:msup><g:mi mathvariant="normal">Ξ</g:mi><g:mrow><g:mo>*</g:mo><g:mn>0</g:mn><g:mo>,</g:mo><g:mo>−</g:mo></g:mrow></g:msup><g:mo>,</g:mo><g:msup><g:mi mathvariant="normal">Ω</g:mi><g:mo>−</g:mo></g:msup></g:math>) are explicitly considered in the dispersion relations. The properties of mesons in the chiral SU(3) model are modified at finite density and temperature of asymmetric resonance matter through the exchange of scalar fields <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mi>σ</m:mi></m:mrow></m:math>, <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mrow><o:mi>ζ</o:mi></o:mrow></o:math>, and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi>δ</q:mi></q:math> and the vector fields <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mrow><s:mi>ω</s:mi></s:mrow></s:math>, <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:mrow><u:mi>ρ</u:mi></u:mrow></u:math>, and <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi>ϕ</w:mi></w:math>. The presence of resonance baryons in the medium at finite temperature is observed to modify significantly the effective masses of <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mi>K</y:mi></y:math> and <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:mover accent="true"><ab:mi>K</ab:mi><ab:mo stretchy="false">¯</ab:mo></ab:mover></ab:math> mesons. We also calculated the optical potentials of kaons and antikaons as a function of momentum in resonance matter. The present study of in-medium masses and optical potentials of kaons and antikaons will be important for understanding the experimental observables from the heavy-ion collision experiments where hot and dense matter may be produced. Our results indicate that when resonance baryons are present within the medium at finite baryonic density, the mass reduction of kaons and antikaons becomes more pronounced as the temperature of the medium increases from zero to 100 and 150 MeV. The study of the optical potentials of kaons and antikaons reveals a stronger correlation with strangeness fraction compared to isospin asymmetry. Published by the American Physical Society 2024