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Unified description for the nuclear equation of state and fragmentation in heavy-ion collisions

1995/01/17 by Jicai Pan, Subal Das Gupta · 81 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical phenomena #Critical point (mathematics) #Equation of state #Fragmentation (computing) #Heavy ion #High-Energy Particle Collisions Research #High-pressure geophysics and materials #Ion #Mathematical analysis #Mathematics #Mean field theory #Nuclear matter #Nuclear physics #Percolation (cognitive psychology) #Percolation theory #Phase transition #Physics #Power law #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Thermodynamics #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.51.1384

published in Physical Review C 51(3), 1384-1392 (American Institute of Physics) · 20 pages in RevTex, 11 figures (uuencoded ps files), to appear in Phys. Rev. C

arxiv created 1995/01/17 · openalex publication_date 1995/03/01 · openalex created_date 2016/06/24 · arxiv updated 2016/09/07 · openalex updated_date 2026/08/05

Abstract

We propose a model that provides a unified description of the nuclear equation of state and fragmentations. The equation of state is evaluated in the Bragg-Williams as well as in the Bethe-Peierls approximations and compared with that in the mean field theory with Skyrme interactions. The model shows a liquid-gas type phase transition. The nuclear fragment distributions are studied for different densities at finite temperatures. Power law behavior for fragments is observed at the critical point. The study of the fragment distribution and the second moment S2 shows that the thermal critical point coincides with the percolation point at the critical density. High temperature behavior of the model shows characteristics of chemical equilibrium.

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