Isospin effect in statistical sequential decay

Abstract

Isospin effect of the statistical emission fragments from the equilibrated source is investigated in the frame of statistical binary decay implemented into the GEMINI code, isoscaling behavior is observed and the dependences of isoscaling parameters \ensuremath{\alpha} and \ensuremath{\beta} on emission fragment size, source size, source isospin asymmetry and excitation energies are studied. Results show that \ensuremath{\alpha} and \ensuremath{\beta} neither depends on light fragment size nor on source size. A good linear dependence of \ensuremath{\alpha} and \ensuremath{\beta} on the inverse of temperature $T$ is manifested and the relationship of $\ensuremath{\alpha}=4{C}_{\mathrm{sym}}[({Z}_{s}/{A}_{s}){}_{1}^{2}\ensuremath{-}({Z}_{s}/{A}_{s}){}_{2}^{2}]/T$ and $\ensuremath{\beta}=4{C}_{\mathrm{sym}}[({N}_{s}/{A}_{s}){}_{1}^{2}\ensuremath{-}({N}_{s}/{A}_{s}){}_{2}^{2}]/T$ from different isospin asymmetry sources is satisfied. The symmetry energy coefficient ${C}_{\mathrm{sym}}$ extracted from simulation results is \ensuremath{\sim} 23 MeV which includes both the volume and surface term contributions, of which the surface effect seems to play a significant role in the symmetry energy.