Dilatational oscillations of closed-shell nuclei

The Jπ = 0+ breathing-mode energies have been calculated for 4He, 16O, 40Ca, 90Zr, 120Sn and 208Pb (taken as closed-shell nuclei) within the framework of the self- consistent constrained Hartree-Fock method and the adiabatic approximation. We have made use of an effective semi-realistic interaction of Saunier and Pearson without any adjustable parameters. The breathing-mode energy EBM for 4He agrees well with experiment, and for heavy nuclei the quantity EBMA13 is constant, following very closely the prediction of the liquid-drop model. The inelastic electron-scattering form factor for 4He was calculated and compared with experiment.