Microscopic Calculation of Fusion Cross-Sections
Abstract
A microscopic calculation of cross sections for fusion of oxygen isotopes 16O, 22O and 24O is presented. Fermionic Molecular Dynamics wave functions are used to describe the fully antisymmetrized and angular momentum projected nucleus-nucleus system. The same effective nucleon-nucleon interaction is used to determine the ground state properties of the nuclei as well as the nucleus-nucleus interaction. From the microscopic many-body wave function the corresponding wave function for the relative motion of two point-like nuclei is derived by a method proposed by Friedrich which leads to a local effective nucleus-nucleus potential. Finally the Schr\"odinger equation with incoming wave boundary conditions is solved to obtain the penetration factors for the different partial waves. With these the S-factor for the fusion process is calculated. A good agreement with experimental data is obtained for the 16O-16O cross section. Much enhanced cross sections are found for the neutron-rich oxygen isotopes.
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