Isoscaling in the Lattice Gas Model

Y. G. Ma, K. Wang, Y. B. Wei, G. L. Ma, X. Z. Cai, J. G. Chen, D. Q. Fang, W. Guo, W. Q. Shen, W. D. Tian, C. Zhong

Published 2004-02-28, updated 2004-05-19Version 2

The isoscaling behavior is investigated using the isotopic/isobaric yields from the equilibrated thermal source which is prepared by the lattice gas model for lighter systems with A = 36. The isoscaling parameters $\alpha$ and -$\beta$ are observed to drop with temperature. The difference of neutron and proton chemical potential shows a turning point around 5 MeV where the liquid gas phase transition occurs in the model. The relative free neutron or proton density shows a nearly linear relation with the N/Z (neutron to proton ratio) of system and the isospin fractionation is observed.