Probing the equation of state for cold nuclear matter in fusion reactions

To probe the nuclear equation of state, several fusion cross-sections have been analyzed using microscopic nucleus-nucleus potentials calculated in the framework of the Hamiltonian energy density approach through the well-known Skyrme nucleon-nucleon effective interaction with eighteen different parameterizations which express various equations of state. Three density-dependent M3Y-Paris effective forces are examined also within the double-folding model. The various effective forces give incompressibility modulus values which vary over a rather wide range between 188MeV and 372MeV. The extracted fusion barrier distributions are examined too with the same aim. The most successfully investigated interactions in deriving satisfactory fusion excitation functions as well as barrier distributions are those giving equations of state with nuclear incompressibility values in the range of 230-241MeV, according to the isospin asymmetry of the interacting nuclei.