Reconstructed primary fragments and symmetry energy, temperature and density of the fragmenting source in Zn64+Sn112 at 40MeV/nucleon

Symmetry energy, temperature and density at the time of the intermediate mass fragment formation are determined in a self-consistent manner, using the experimentally reconstructed primary hot isotope yields and anti-symmetrized molecular dynamics (AMD) simulations. The yields of primary hot fragments are experimentally reconstructed for multifragmentation events in the reaction system Zn64+Sn112 at 40MeV/nucleon. Using the reconstructed hot isotope yields and an improved method, based on the modified Fisher model, symmetry energy values relative to the apparent temperature, asym/T, are extracted. The extracted values are compared with those of the AMD simulations, extracted in the same way as those for the experiment, with the Gogny interaction with three different density-dependent symmetry energy terms. The asym/T values change according to the density-dependent symmetry energy terms used. Using this relation, the density of the fragmenting system is extracted first. Then symmetry energy and apparent temperature are determined in a self consistent manner in the AMD model simulations. Comparing the calculated asym/T values and those of the experimental values from the reconstructed yields, ρ/ρ0=0.65±0.02, asym=23.1±0.6MeV and T=5.0±0.4MeV are evaluated for the fragmenting system experimentally observed in the reaction studied.