Isoscaling, Symmetry Energy and Thermodynamic Models

Abstract

The isoscaling parameter usually denoted by $\alpha$ depends upon both the symmetry energy coefficient and the isotopic contents of the dissociating systems. We compute $\alpha$ in theoretical models: first in a simple mean field model and then in thermodynamic models using both grand canonical and canonical ensembles. For finite systems the canonical ensemble is much more appropriate. The model values of $\alpha$ are compared with a much used standard formula. Next we turn to cases where in experiments, there are significant deviations from isoscaling. We show that in such cases, although the grand canonical model fails, the canonical model is capable of explaining the data.

total 27 pages including 9 figures

References in corpus (17)

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Cited by in corpus (8)

• Isoscaling as a measure of Symmetry Energy in the Lattice Gas Model
• Effect of secondary decay on isoscaling: Results from the canonical thermodynamical model
• Isospin effects and symmetry energy studies with INDRA
• Symmetry energy from nuclear multifragmentation
• Effect of particle fluctuation on isoscaling and isobaric yield ratio of nuclear multifragmentation
• Conditions for equivalence of Statistical Ensembles in Nuclear Multifragmentation
• Statistical approach of nuclear multifragmentation with realistic nuclear equation of state
• Symmetry energy from fragment observables in the canonical thermodynamic model