Nucleus-nucleus cold fusion reactions analyzed with thel-dependent “fusion by diffusion” model

Calculations of the cross sections for the synthesis of new293–296118 isotopes in249–252Cf(Cap1, Siwek‐Wilczyńska2, Kowal3 et al. 2013Phys. Rev. CSelf Cite

“…, and µ is the reduced mass of the colliding system. The capture transmission coefficients, T (l), are calculated from the sytematics of the fusion cross sections for lighter systems [8,9].…”

“…The energy threshold H opposing fusion in the diffusion process is thus the difference between the energy of the saddle point and the energy of the combined system at the injection point, calculated using the algebraic approximate expressions given in Ref. [8]. The corresponding values of the rotational energy at the injection point and at the saddle point are calculated assuming the rigid-body moments of inertia at these configurations.…”

“…All details can be found in Ref. [8]. In case of calculating multiple evaporation (xn) channels a simplified algorithm avoiding the necessity of using the Monte Carlo method was used [13].…”

Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei

“…The calculations of the fusion (capture) excitation functions are of significant importance for the study of the nuclear structure and test of the models. The fusion (capture) cross sections of heavy-ion reactions can be predicted with some static models [8][9][10][11][12][13][14], in which the nucleus-nucleus potential is calculated under frozen density approximation or simply described by using the Woods-Saxon potential and the fusion (capture) probability is then obtained based on the barrier penetration concept together with the calculated nucleus-nucleus potential. The influence of the microscopic effects on the fusion barrier are empirically described by the barrier distribution function or absorbed in the model parameters.…”

Fusion cross sections for reactions involving medium and heavy nucleus-nucleus systems

“…The energy dependence of the fusion cross section is obtained by folding the barrier distribution [9,10] provided by Eq. (1), with the classical expression for the fusion cross section given by…”