Abstract
The effect of nuclear and Coulomb interactions on the shapes of two colliding208Pb nuclei at finite temperature is investigated. The complex potential energy density derived by Faessler and collaborators and the kinetic energy density and entropy density for two Fermi spheres at finite temperature are used to calculate the free energy of the208Pb +208Pb system in the energy density formalism. Shell corrections are added to the free energy in the framework of the Strutinsky method. The total free energy is minimized with respect to the quadrupole deformation and the diffuseness to determine the density distribution of208Pb nucleus at certain distanceR and temperatureT assuming the deformed Woods-Saxon shape for each nucleus. It is found that the nucleus acquires larger deformation and diffuseness as the temperature increases. The interaction potential between two208Pb nuclei is calculated from the minimized free energy. The total (nuclear + Coulomb) potential is found to decrease with increasing temperature, whereas the real part of the nuclear potential becomes more repulsive as the temperature increases.
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Supported by the International Bureau of the Kernforschungsanlage in Jülich and the Gesellschaft für Schwerionenforschung, Darmstadt
The authors are grateful to Dr. R. Nojarov for providing them the computer code to calculate the wavefunctions in the deformed Woods-Saxon potentials. Three of the authors (M.R., M.I. and W.W.) are very grateful to Prof. Amand Faessler for the invitation to Tübingen and the excellent collaboration in the Institut für Theoretische Physik of the University of Tübingen. They are also very grateful to the International Bureau of the Kernforschungsanlage in Jülich for the financial support.
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Faessler, A., Rashdan, M., Ismail, M. et al. Nuclear shapes and interaction potentials of two colliding208Pb nuclei at finite temperature. Z. Physik A - Atomic Nuclei 333, 153–162 (1989). https://doi.org/10.1007/BF01565146
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DOI: https://doi.org/10.1007/BF01565146