Quantum Statistical Effects on Fusion Dynamics of Heavy-Ions

Abstract

In order to describe the fusion of two very heavy nuclei at near barrier energies, a generalized Langevin approach is proposed, which incorporates the quantum statistical fluctuations in accordance with the fluctuation and dissipation theorem. It is illustrated that the quantum statistical effects introduce an enhancement of the formation of compound nucleus, though the quantum enhancement is somewhat less pronounced as indicated in the previous calculations.

17 pages, 6 figures

References in corpus (4)

• Two-Step Model of Fusion for Synthesis of Superheavy Elements
• Diffusion over a saddle with a Langevin equation
• Quantum effect in the diffusion along a potential barrier: Comments on the synthesis of superheavy elements
• Influence of microscopic transport coefficients on the formation probabilities for super-heavy elements

Cited by in corpus (14)

• A Stochastic Mean-Field Approach For Nuclear Dynamics
• Effects of nuclear deformation and neutron transfer in capture process, and origin of fusion hindrance at deep sub-barrier energies
• Stochastic quantum dynamics beyond mean-field
• Peculiarities of sub-barrier fusion with quantum diffusion approach
• Dynamical approach to heavy-ion induced fission using actinide target nuclei at energies around the Coulomb barrier
• Quantum Monte-Carlo method applied to Non-Markovian barrier transmission
• Neutron pair transfer in sub-barrier capture process
• Search of systematic behavior of breakup probability in reactions with weakly bound projectiles at energies around Coulomb barrier
• Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function
• Sub-barrier capture reactions with ${}^{16,18}$O and ${}^{40,48}$Ca beams
• Threshold energy for sub-barrier fusion hindrance phenomenon
• Optimal path of diffusion over the saddle point and fusion of massive nuclei
• Production of exotic isotopes in complete fusion reactions with radioactive beams
• Quasifission at extreme sub-barrier energies