Elsevier

Nuclear Physics A

Volume 474, Issue 1, 16 November 1987, Pages 155-172
Nuclear Physics A

Nuclear compression modulus and isotope shifts of Pb nuclei

https://doi.org/10.1016/0375-9474(87)90198-9Get rights and content

Abstract

Isotope shifts of Pb nuclei are studied by taking into account giant monopole and quadrupole resonance by a perturbative method. Giant monopole states are calculated by the HF + RPA response function method using three parameter sets of the Skyrme interactions SGI, SGII and SIII which give the compression moduli K = 269 MeV, 217 MeV and 356 MeV, respectively. Our calculations reproduce the kink of the observed isotope shifts at 208Pb, while the second-order effect due to the giant quadrupole resonances is not enough to explain the observed odd-even staggering. The Skyrme force SGII having K = 217 MeV shows the best quantitative agreement among three forces in comparison with the experimental data of the isotope shifts of Pb nuclei. The effect of the effective mass is also discussed.

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