Unlocking the secrets of matter: This paper explores the multifractal behavior of shower particles produced in high-energy nuclear collisions. The research employs Takagi methodology to analyze 12C-Em collisions at 3.6 A GeV and p-Em collisions at 400 GeV, seeking to understand the complex dynamics of multiparticle production. The study reveals a power-law dependence of multiplicity moments on the mean multiplicity in varying bin sizes for different nuclear targets. Through the evaluation of generalized dimensions, the authors provide evidence supporting multifractality in multiparticle production. The obtained values decrease with *q*, reinforcing the presence of complex scaling behavior. Notably, the multifractal specific heat is calculated for both the current data and collisions involving other heavy ions, unveiling a potentially universal value of approximately 1/4. This finding suggests that the multifractal specific heat may be independent of the type of ions and their energy, hinting at underlying commonalities in the fragmentation processes. The research provides insights into the fundamental nature of high-energy collisions and the behavior of nuclear matter under extreme conditions. Further investigations could explore the implications of this universal value.
Published in the International Journal of Modern Physics E, this paper aligns with the journal's focus on nuclear and particle physics, atomic physics, and the fundamental properties of matter. It contributes to ongoing research in high-energy physics, exploring the complex nature of multiparticle production in nuclear collisions, a key area of investigation in the journal's scope.