- th / 0 41 00 77 v 1 1 8 O ct 2 00 4 Some Calculations for Cold Fusion Superheavy Elements ∗

The Q value and optimal exciting energy of the hypothetical superheavy nuclei in cold fusion reaction are calculated with relativistic mean field model and semiemperical shell model mass equation(SSME) and the validity of the two models is tested. The fusion barriers are also calculated with two different models and reasonable results are obtained. The calculations can give useful references for the experiments in the superheavy nuclei synthesized in cold fusion reactions. The formation of compound nuclei by cold fusion reaction is one of the outstanding problem of low-energy nuclear reactions. Such processes play a key role in the production of superheavy elements(SHEs) [1–4]. Experiments or intensive preparatory work are in progress at the laboratories such as Dubna, Berkeley, RIKEN and GANIL etc. Theoretical support of these very expensive experiments is vital in the choice of fusing nuclei and their collision energy, and for the estimation of the cross sections and identification of evaporation residues. The quantum mechanical fragmentation theory(QMFT) which was developed by Gupta et al. to describe the synthesis of new and superheavy elements gives us a method for selecting an optimum cold target-projectile combination. Cold compound systems were considered to be formed for all those target+projectile combinations that lie at the bottom of the potential energy minima [5–7]. On the basis of the QMFT, recently, Gupta lists all the possible target+projectile combinations, referring to minima in PES, in particular, the use of radioactive nuclear beams and targets [8]. There are several important physical values such as Q values, the heights of the fusion barrier B f u and the optimal excitation energies E * for the cold fusion reaction. The aims of this paper are to find some proper methods to predict the ground-state Q values, the heights of the fusion barrier B f u and the optimal excitation energies E * for the cold fusion reaction. Then, following the work of Gupta et al. in Ref. [8] we calculate Q, B f u and E * for the possible target+projectile combinations to give some significative references for the future experiments.