dorsal/arxiv
View SchemaMicroscopic Calculation of Fusion Cross-Sections
| Authors | Thomas Neff, Hans Feldmeier, Karlheinz Langanke |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703030 |
| URL | https://arxiv.org/abs/nucl-th/0703030 |
Abstract
A microscopic calculation of cross sections for fusion of oxygen isotopes $^{16}$O, $^{22}$O and $^{24}$O 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{\"o}dinger 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 $^{16}$O-$^{16}$O cross section. Much enhanced cross sections are found for the neutron-rich oxygen isotopes.
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"abstract": "A microscopic calculation of cross sections for fusion of oxygen isotopes\n$^{16}$O, $^{22}$O and $^{24}$O is presented. Fermionic Molecular Dynamics wave\nfunctions are used to describe the fully antisymmetrized and angular momentum\nprojected nucleus-nucleus system. The same effective nucleon-nucleon\ninteraction is used to determine the ground state properties of the nuclei as\nwell as the nucleus-nucleus interaction. From the microscopic many-body wave\nfunction the corresponding wave function for the relative motion of two\npoint-like nuclei is derived by a method proposed by Friedrich which leads to a\nlocal effective nucleus-nucleus potential. Finally the Schr{\\\"o}dinger equation\nwith incoming wave boundary conditions is solved to obtain the penetration\nfactors for the different partial waves. With these the S-factor for the fusion\nprocess is calculated. A good agreement with experimental data is obtained for\nthe $^{16}$O-$^{16}$O cross section. Much enhanced cross sections are found for\nthe neutron-rich oxygen isotopes.",
"arxiv_id": "nucl-th/0703030",
"authors": [
"Thomas Neff",
"Hans Feldmeier",
"Karlheinz Langanke"
],
"categories": [
"nucl-th"
],
"title": "Microscopic Calculation of Fusion Cross-Sections",
"url": "https://arxiv.org/abs/nucl-th/0703030"
},
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