Giant monopole resonance in Pb isotopes

The extraction of the nuclear incompressibility from isoscalar giant monopole resonance (GMR) measurements is analyzed. Pairing may play a role in the shift of the GMR energy between the doubly closed shell ${}^{208}\mathrm{Pb}$ nucleus and other Pb isotopes. Pairing effects are predicted microscopically using the constrained Hartree-Fock-Bogoliubov method. Accurate measurements of the GMR in open-shell Pb isotopes are necessary.

Figure 1

Excitation energies of GMR in ${}^{204–212}\mathrm{Pb}$ isotopes calculated with the CHFB method and the SLy4 and SkM* interactions. The experimental data are taken from Ref. [19].