The shell model residual interaction around 208Pb is studied. Matrix elements of a realistic interaction, calculated from the interaction between free nucleons, are compared with experiment. The calculated interaction has been improved by adjustments to experimental data, to better describe nuclei around 208Pb. Some systematic trends of the differences between calculated and empirical interaction have been found. Specifically, the interaction between particles and holes in 208Pb is treated and that between two proton holes, based on new data for 206Hg.
PACS numbers: 21.60.Cs, 27.80.+w
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