The barriers standing against the formation of superheavy elements and their
consecutive $\alpha$ decay have been determined in the quasimolecular shape
path within a Generalized Liquid Drop Model including the proximity effects
between nucleons in a neck, the mass and charge asymmetry, a precise nuclear
radius and the shell effects given by the Droplet Model. For moderately
asymmetric reactions double-hump potential barriers stand and fast fission of
compact shapes in the outer well is possible. Very asymmetric reactions lead to
one hump barriers which can be passed only with a high energy relatively to the
superheavy element energy. Then, only the emission of several neutrons or an
$\alpha$ particle can allow to reach an eventual ground state. For almost
symmetric heavy-ion reactions, there is no more external well and the inner
barrier is higher than the outer one
The energy of actinide nuclei has been determined within a generalized liquid drop model taking into account the proximity energy, the mass and charge asymmetry, an accurate nuclear radius in adding the shell and pairing energies. Double and triple-humped potential barriers appear. The second maximum corresponds to the transition from compact and creviced one-body shapes to two touching ellipsoids. A third minimum and third peak appear in special asymmetric exit channels where one fragment is almost a magic nucleus with a quasi-spherical shape while the other one evolves from oblate to prolate shapes. The heights of the double and triple-humped fission barriers agree precisely with the experimental results in all the actinide region. The predicted half-lives follow the experimental data trend.
A microscopic investigation of nucleon-induced reactions is addressed within the DYWAN model, which is based on the projection methods of out of equilibrium statistical physics and on the mathematical theory of wavelets. Due to a strongly compressed representation of the fermionic wave functions, the numerical simulations of the nucleon transport in target are therefore able to preserve the quantum nature of the colliding system, as well as a least biased many-body information needed to keep track of the cluster formation. A special attention is devoted to the fingerprints of the phase space topology induced by the fluctuations of the self-consistent mean-field. Comparisons between theoretical results and experimental data point out that ETDHF type approaches are well suited to describe reaction mechanisms in the Fermi energy domain. The observed sensitivity to physical effects shows that the nucleon-induced reactions provide a valuable probe of the nuclear interaction in this range of energy
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