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    Information entropy and Δ-scaling law in central Au197 + Au197 collisions at 20–350 MeV/nucleon

    Jin-Mei Wang (汪金梅)1,2, Feng-Hua Qiao (乔枫华)3,4,5, Xian-Gai Deng (邓先概)1,2,*, and Yu-Gang Ma (马余刚)1,2,6,†

    • *Contact author: xiangai_deng@fudan.edu.cn
    • †Contact author: mayugang@fudan.edu.cn

    Phys. Rev. C 114, 034603 – Published 8 September, 2026

    DOI: https://doi.org/10.1103/q8sf-r7r4

    Abstract

    Within the isospin-dependent quantum molecular-dynamics (IQMD) framework, we investigate the multiplicity information entropy H of neutrons, protons, intermediate-mass fragments (IMFs), and all fragments, together with the Δ-scaling behaviors, in central Au197+Au197 collisions over an incident energy range of E=20–350MeV/nucleon. The information entropy of IMFs exhibits a plateau around E=110 MeV/nucleon, while that of all fragments shows a pronounced turning point at a similar energy. When considered together with other observables, these features reflect a correlated change in fragment production dynamics in this energy region. In contrast, the Δ-scaling analysis of the largest fragment charge Zmax does not indicate a transition from Δ=1/2 to Δ=1 over the same energy range. However, the charged-fragment multiplicity exhibits distinct Δ-scaling behaviors in low- (E=20–80MeV/nucleon) and high-energy (E=100–350MeV/nucleon) regions. These combined observations suggest that the multiplicity information entropy and the Δ-scaling behavior of charged fragments consistently reflect a coherent change in the fragmentation dynamics around E=110 MeV/nucleon.

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