Self-Consistent Calculations of the Electric Giant Dipole Resonances in Light and Heavy Nuclei

While bulk properties of stable nuclei are successfully reproduced by mean-field theories employing effective interactions, the dependence of the centroid energy of the electric giant dipole resonance on the nucleon number $A$ is not. This problem is cured by considering many-particle correlations beyond mean-field theory, which we do within the quasiparticle time blocking approximation. The electric giant dipole resonances in ${}^{16}\mathrm{O}$, ${}^{40}\mathrm{Ca}$, and ${}^{208}\mathrm{Pb}$ are calculated using two new Skyrme interactions.

Figure 1

Photo absorption cross section in ${}^{16}\mathrm{O}$ calculated self-consistently in RPA, using two different Skyrme parametrizations with effective mass 0.56 (dashed [blue] line) and 0.64 (dashed-dotted [green] line). The experimental cross section is given by the (brown) dots connected by a solid line [28].

Figure 2

Comparison of the experimental [28] photo absorption cross section in ${}^{16}\mathrm{O}$ with theoretical ones calculated in RPA (dashed [blue] line) and QTBA (solid [red] line) using the SV-m56-O Skyrme parameters. The experimental data are given by the (brown) dots connected by a solid line [28].

Figure 3

Comparison of the experimental photo absorption cross section [29] in ${}^{208}\mathrm{Pb}$ ([brown] dots with bars), with theoretical ones calculated in RPA (dashed [blue] line) and QTBA (solid [red] line). The Skyrme parametrization SV-m56-O was used.

Figure 4

The same as in Fig. 3, but for ${}^{40}\mathrm{Ca}$. The data are taken from Ref. 30.