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Core polarization effects on transition densities in medium-heavy nuclei |
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| Institution: | 1. GSI Helmholtz Zentrum für Schwerionenforschung GmbH, D-64291, Darmstadt, Germany;2. Technische Universität Darmstadt, Institut fur Kernphysik, D-64289, Darmstadt, Germany;3. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 73000, People’s Republic of China;1. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI 48824, USA;2. Joint Institute for Nuclear Astrophysics, Michigan State University, East Lansing, MI 48824, USA;3. Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA;4. Department of Chemistry, Michigan State University, East Lansing, MI 48824, USA;5. Lawrence Livermore National Laboratory, 700 East Avenue, Livermore, CA 94550-9234, USA;6. Department of Physics, University of Oslo, NO-0316 Oslo, Norway;7. Los Alamos National Laboratory, Los Alamos, NM 87545, USA;8. Central Michigan University, Mount Pleasant, MI 48824, USA;1. Department of Physics, Rikkyo University, Tokyo 171-8501, Japan;2. Department of Physics, Tokyo Instititute of Technology, Tokyo 152-8551, Japan;3. RIKEN Nishina Center, Saitama 351-0198, Japan |
| Abstract: | We propose a microscopic model to study the core-polarization effects of giant resonances on the transition densities of open-shell nuclei. We use the Hartree-Fock-RPA method for the calculation of the single-particle wave functions and the response function of the giant resonances. Particle-vibration coupling is applied to take into account the core polarization effect on the valence many-body wave functions. We apply our model to the quadrupole transitions in the several medium-heavy nuclei. Valence many-body wave functions are calculated with the generalized seniority scheme and with the shell model. Results for the proton and neutron effective charges and the Coulomb form factors for the N = 82 isotones and for 116Sn and 110Pd are presented and discussed. The effective coupling hamiltonian is determined by the Skyrme interaction SGII which is used also in the HF and RPA calculations. The calculated core polarization charges show some state dependences. The average theoretical values are δep = 0.4–0.5 and δen = 0.6–0.7 compared to typical empirical values of δep = 0.6 and δen = 1.2. |
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