Symmetry energy and the isospin dependent equation of state

Abstract

The isoscaling parameter $\alpha$, from the fragments produced in the multifragmentation of ${}^{58}$Ni + ${}^{58}$Ni, ${}^{58}$Fe + ${}^{58}$Ni and ${}^{58}$Fe + ${}^{58}$Fe reactions at 30, 40 and 47 MeV/nucleon, was compared with that predicted by the antisymmetrized molecular dynamic (AMD) calculation based on two different nucleon-nucleon effective forces, namely the Gogny and Gogny-AS interaction. The results show that the data agrees better with the choice of Gogny-AS effective interaction, resulting in a symmetry energy of $\sim$ 18-20 MeV. The observed value indicate that the fragments are formed at a reduced density of $\sim$ 0.08 fm${}^{-3}$.

5 pages, 5 figures, Accepted for publication in Phys. Rev. C (Rapid Communication)

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