Abstract
With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed nuclei at subbarrier energies. The calculated results are in a good agreement with existing experimental data. With decreasing bombarding energy under the barrier the external turning point of the nucleusnucleus potential leaves the region of short-range nuclear interaction and action of friction. Because of this change of the regime of interaction, an unexpected enhancement of the capture cross section is expected at bombarding energies far below the Coulomb barrier. This effect is shown its worth in the dependence of mean-square angular momentum of captured system on the bombarding energy. From the comparison of calculated and experimental capture cross sections, the importance of quasifission near the entrance channel is shown for the actinide-based reactions leading to superheavy nuclei.
Highlights
From the comparison of calculated and experimental capture cross sections, the importance of quasifission near the entrance channel is shown for the actinide-based reactions leading to superheavy nuclei
Besides the parameters related to the nucleus-nucleus potential, two parameters γ=32 MeV and the friction coefficient λ = − (s1 + s2)=2 MeV are used for calculating the capture probability in reactions with deformed actinides
We demonstrate that the capture cross section σcap at fixed orientation as a function of Ec.m. − Vborient, where Vborient is the Coulomb barrier for this orientation, is almost independent of the orientation angle θ2
Summary
The measurement of excitation functions down to the extreme sub-barrier energy region is important for studying the nucleus-nucleus interaction as well as the coupling of relative motion with other degrees of freedom, and very little data exist on the fusion, fission and capture cross sections at extreme sub-barrier energies [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. [23], this approach is successful for describing the capture cross sections at energies near and below the Coulomb barrier for interacting spherical nuclei. An unexpected enhancement of the capture cross section at bombarding energies far below the Coulomb barrier has been predicted in [23]. This effect is related to the switching off of the nuclear interaction at the external turning point rex (Fig. 1).
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