Statistical model of nuclear multifragmentation

Journal Article · Sat Jul 01 00:00:00 EDT 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.40.105· OSTI ID:6058020

DeAngelis, A R; Mekjian, A Z

We present a statistical approach to the problem of multifragmentation in heavy-ion collisions. We begin with a generalized Sakur-Tetrode expression for the entropy. Through it we find expressions for the configuration weight functions. Fluctuations in the configurations are shown to be Poisson-like. Fragmentation yields are calculated by minimizing the total information subject to conservation of energy and baryon number. We work within the framework of a liquid-gas phase transition, and include a study of the effects of the nuclear surface (including a surface curvature correction), the Coulomb energy, and the internal excited states of the drop. Coulomb effects are investigated using both a simple /ital A//sup 5/3/ dependence (as in the liquid-drop model) and a more complete expression which includes the presence of the surrounding vapor. We adopt a virial expansion for the equation of state and have found an analytic solution for the coexistence curve in infinite, uncharged matter. The case of charged, finite matter is also discussed. By identifying the clusters with the nuclei which are detected experimentally we can calculate fragment yields over a range of temperatures. We do so for a representative case and discuss the results.

• Research Organization: Department of Physics and Astronomy, Rutgers University, New Brunswick, New Jersey 08901(US)
• OSTI ID: 6058020
• Journal Information: Phys. Rev. C; (United States), Vol. 40:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HEAVY ION REACTIONS
FRAGMENTATION
BARYON NUMBER
CONSERVATION LAWS
COULOMB FIELD
ENTROPY
EQUATIONS OF STATE
LIQUID DROP MODEL
MASS NUMBER
PHASE TRANSFORMATIONS
STATISTICAL MODELS
CHARGED-PARTICLE REACTIONS
ELECTRIC FIELDS
EQUATIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR REACTIONS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
653003* - Nuclear Theory- Nuclear Reactions & Scattering