The energy window of entrance channels and synthesis of super heavy elements

We offer a dynamic method of calculating of the partial fusion cross sections for heavy ion reactions as a product of the dynamic capture cross section and the probability of competition between complete fusion and quasi fission of the dinuclear system formed after capture. The method used allows us to determine the beam energy range favorable to fusion. In the capture stage, damping of the relative kinetic energy and angular momentum is obtained by self-consistent solution of the equations of the intrinsic degrees of freedom and relative distance. Fusion is considered in the dinuclear system concept as a transformation of nuclear system in a compound nucleus by multinucleon transfer (diffusion process) after capture. In the suggested method, the capture cross section, σcapt, has been calculated for the possible reactions on the way to SHE Z=114. These reactions are 36S + 259Cf (I), 40Ar + 248Cm (II), 48Ca + 244Pu (III) (FLNR, Dubna), and 74,76Ge + 208Pb IV,V) (GSI, Darmstadt). (A.A.D.)