Elsevier

Nuclear Physics A

Volume 462, Issue 1, 19 January 1987, Pages 1-25
Nuclear Physics A

Core polarization effects on transition densities in medium-heavy nuclei

https://doi.org/10.1016/0375-9474(87)90376-9Get rights and content

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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    1

    Present address: Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-2-1, Bunkyo-ku Tokyo 113, Japan.

    2

    Present address: KVI, Zernikelaan 25, 9747 AA Groningen, The Netherlands.

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