Fractal Entropy of Nuclear Medium Probed by <inline-formula><math display="inline"><semantics><msubsup><mi>K</mi><mi>S</mi><mn>0</mn></msubsup></semantics></math></inline-formula> Mesons Produced in AuAu Collisions at RHIC

Abstract

In this paper, we review our findings concerning fractal entropy of microscopic configurations corresponding to the production of KS0 mesons in AuAu collisions in the z-scaling approach. The entropy is expressed via structural and fragmentation fractal dimensions, and model parameter cAuAu is interpreted as a specific heat of produced medium. These parameters are related to the respective momentum fractions of the colliding nuclei, the momentum fractions of the scattered constituents that fragment into the produced hadrons, and the multiplicity density of negative particles in the central interaction region. The dependence of the entropy on the collision energy over the range of 7.7–200 GeV for most central and most peripheral events is studied as a function of the transverse momentum of the produced KS0 mesons. A non-trivial dependence of the entropy on the collision energy with decreasing transverse momentum is found. This reflects the irregularity of the behavior of the specific heat, cAuAu, and can point to a manifestation of phase transition in nuclear matter.

Keywords

• high energy heavy ion collisions
• entropy in heavy ion physics
• fractality in heavy ion physics
• RHIC