Isoscaling as a measure of Symmetry Energy in the Lattice Gas Model

Abstract

The energetic properties of nuclear clusters inside a low-density, finite-temperature medium are studied with a Lattice Gas Model including isospin dependence and Coulomb forces. Important deviations are observed respect to the Fisher approximation of an ideal gas of non-interacting clusters, but the global energetics can still be approximately expressed in terms of a simple modified energy-density functional. The multi-fragmentation regime appears dominated by combinatorial effects in this model, but the isoscaling of the largest fragment in low energy collisions appears a promising observable for the experimental measurement of the symmetry energy.

4 pages, 3 figure, submitted to PRL

References in corpus (10)

• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Experimental determination of the symmetry energy of a low density nuclear gas
• Correlations and Characterization of Emitting Sources
• Evolution of the symmetry energy of hot neutron-rich matter formed in heavy-ion reactions
• Multifragmentation and the symmetry term of the nuclear equation of state
• Isoscaling, Symmetry Energy and Thermodynamic Models
• Bimodality and Coulomb effects with a canonical thermodynamic model
• Generalized Gibbs ensembles for time dependent processes
• Density dependence of the "symmetry energy" in the lattice gas model
• Exploring the Lattice Gas Model for isoscaling

Cited by in corpus (7)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Triton-${}^3$He relative and differential flows as probes of the nuclear symmetry energy at supra-saturation densities
• Imprints of the nuclear symmetry energy on gravitational waves from the axial w-modes of neutron stars
• Experimental study of the ${}^{40,48}$Ca+ ${}^{40,48}$Ca reactions at 35 MeV/nucleon
• Violent Nuclear Reactions: Large-Amplitude Nuclear Dynamic Phenomena in Fermionic Systems
• Critical-like behavior in a lattice gas model