Abstract
A semi-classical method that incorporates the quantum effects of the low-lying vibrational modes is applied to fusion reactions. The quantum effect is simulated by stochastic sampling of initial zero-point fluctuations of the surface modes. In this model, dissipation of the relative energy into non-collective excitations of nuclei can be included straightforwardly. The inclusion of dissipation is shown to increase the agreement with the fusion cross section data of Ni isotopes.
Highlights
Sub-barrier fusion reactions are investigated by classical or semi-classical approaches known as barrier passing models [1] or fully quantum mechanical approaches such as coupled-channels model [2,3,4]
The quantum effect is simulated by stochastic sampling of initial zero-point fluctuations of the surface modes
The quantum effects are included through stochastic sampling of initial zero-point fluctuations of surface vibrations
Summary
Sub-barrier fusion reactions are investigated by classical or semi-classical approaches known as barrier passing models [1] or fully quantum mechanical approaches such as coupled-channels model [2,3,4]. A stochastic semi-classical model was applied to fusion reactions of Ni isotopes at near-barrier energies by considering the quadrupole and octupole surface modes of both nuclei [8]. The model includes coupling between the relative motion and low-lying collective surface modes of colliding nuclei. The quantum effects are included through stochastic sampling of initial zero-point fluctuations of surface vibrations. The zero-point fluctuations lead to barrier fluctuations that enhance the fusion cross-section at near and sub-barrier energies. The idea that important quantum effects can be simulated by stochastic sampling of the initial zero-point fluctuations was proposed in ref. Only a few applications of the approach has been carried out so far [10,11,12]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
