Abstract
A completely microscopic formalism has been developed to treat the observable properties of single- particle states (e.g. energies and spectroscopic factors), as well as of collective states (e.g., their energy centroid, their damping width and their gamma decay to the ground state or to low lying states) beyond mean-field. The phonons are calculated within the fully self-consistent random phase approximation (RPA). The particle-vibration coupling (PVC) is accounted for within the framework of the nuclear field theory (NFT) at the lowest contributing order. All the calculations have been performed using the whole effective Skyrme interaction.
Highlights
The idea that the nucleons behave as independently moving particles in an average potential, is the basis of selfconsistent mean-field (SCMF) models
Contrary to the electronic case, in which electronic energy functionals of high accuracy may be derived ab initio from electron gas theory, nuclear SCMF models employ effective interactions which are adjusted by extensive fits to nuclear structure data
The perturbative nuclear field theory (NFT) diagrams that contribute to the strength function can be divided into two groups, and a representative of each group is depicted in figure 2
Summary
The idea that the nucleons behave as independently moving particles in an average potential, is the basis of selfconsistent mean-field (SCMF) models These models are in many respects analogs of the density-functional theory (DFT), which gives a very successful description of all kinds of many-electron systems. Contrary to the electronic case, in which electronic energy functionals of high accuracy may be derived ab initio from electron gas theory, nuclear SCMF models employ effective interactions which are adjusted by extensive fits to nuclear structure data Nowadays, both in the non-relativistic and in the covariant framework, SCMF approaches uses rather sophisticated functionals.
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