In this paper, the variation of the nuclear matter properties during the fusion reaction and also its relationship with the hindrance phenomenon are examined in the 64Ni+64Ni reaction. For this purpose, the inter-nuclear potential is calculated by using the Skyrme energy density functional formalism in which the used forces are in a wide range of the incompressibility values. The obtained results indicate that by increasing bombarding energy the nuclear matter incompressibility is increasing. Also, this variation shows that nuclear matter exhibits a very soft behavior when moving from the sub-barrier to the deep sub-barrier region in this reaction, which can cause a large overlapping between the interacting nuclei. Since the repulsion arising from the Pauli exclusion principle affects this large overlapping, so it can lead to the fusion hindrance and the fall-off of the cross-sections in the 64Ni+64Ni reaction.
