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

TL;DR

This paper investigates how isoscaling in nuclear fragmentations can serve as an observable to measure the symmetry energy within a Lattice Gas Model that includes isospin and Coulomb interactions.

Contribution

It introduces a Lattice Gas Model with isospin dependence to study nuclear cluster energetics and explores isoscaling as a potential experimental probe for symmetry energy.

Findings

Deviations from Fisher approximation are observed.

Global energetics can be approximated by a modified energy-density functional.

Isoscaling of the largest fragment is a promising observable for symmetry energy measurement.

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.