Statistical Properties of Fractal Entropy of \(\boldsymbol{K_{S}^{0}}\)-Meson Production in Au + Au Collisions at RHIC

Abstract

Properties of fractal entropy \(S_{\delta,\epsilon}\) reflecting fractality as general feature of \(K_{S}^{0}\)-meson production in Au + Au collisions in the \(z\)-scaling approach is studied. The entropy is expressed via the momentum fractions of the colliding nuclei and the momentum fractions of the secondary objects produced in constituent interactions. The structure of colliding nuclei and fragmentation processes is described by fractal dimensions. The principle of maximum entropy with the assumption of fractal self-similarity of hadron structure and fragmentation processes determines the underlying constituent subprocess and leads to the conservation of new quantity, named fractal cumulativity. Statistical properties of the fractal entropy, quantization of fractal dimensions, and their symmetry relations are discussed.