Temperature effects in the nuclear isoscaling

TL;DR

This paper investigates how temperature influences nuclear isoscaling and confirms that the symmetry energy predominantly determines the isoscaling parameter  at finite temperatures, despite the breakdown of analytical formulas.

Contribution

It demonstrates that the symmetry energy remains the key factor affecting  at finite temperatures, even when analytical relations no longer apply.

Findings

Finite temperature effects invalidate analytical formulas relating  to mass formula parameters.

Symmetry energy continues to govern  behavior at finite temperatures.

Different statistical ensembles yield similar conclusions in isoscaling analysis.

Abstract

The properties of the nuclear isoscaling at finite temperature are investigated and the extent to which its parameter $\alpha$ holds information on the symmetry energy is examined. We show that, although finite temperature effects invalidate the analytical formulas that relate the isoscaling parameter $\alpha$ to those of the mass formula, the symmetry energy remains the main ingredient that dictates the behavior of $\alpha$ at finite temperatures, even for very different sources. This conclusion is not obvious as it is not true in the vanishing temperature limit, where analytical formulas are available. Our results also reveal that different statistical ensembles lead to essentially the same conclusions based on the isoscaling analysis, for the temperatures usually assumed in theoretical calculations in the nuclear multifragmentation process.