Self-consistent description of high-spin states in doubly magic ${}^{208}$Pb

Abstract

We analyze recent data on a long series of high-spin states in ${}^{208}$Pb with a self-consistent phonon-coupling model for nuclear excitations based on the Skyrme functionals. The model is the renormalized time-blocking approximation (RenTBA) which takes the coherent one-particle-one-hole (1p1h) states of the random-phase approximation (RPA) as starting point and develops from that more complex configurations beyond RPA. To the best of our knowledge, this is the first investigation of high spin states in ${}^{208}$Pb using self-consistent nuclear models. The interesting point here is that complex configurations are compulsory to describe the upper end of the long spin series at all. The data thus provide an ideal testing ground for phonon-coupling models as they give direct access to complex configurations. We find that standard Skyrme functionals which perform well in ground state properties and giant resonance excitations deliver at once an agreeable description of these high spin states.

arXiv comment7 pages, 2 figures

References in corpus (13)

• Extended Theory of Finite Fermi Systems (Collective Vibrations in Closed Shell Nuclei)
• Quasiparticle time blocking approximation within the framework of generalized Green function formalism
• Mode-coupling and the pygmy dipole resonance in a relativistic two-phonon model
• Microscopic Studies on Two-Phonon Giant Resonances
• Relativistic two-phonon model for low-energy nuclear response
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Self-consistent calculations of the electric giant dipole resonances in light and heavy mass nuclei
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Application of an Extended Random Phase Approximation on Giant Resonances in Light, Medium and Heavy Mass Nuclei
• Self-consistency in the phonon space of the particle-phonon coupling model
• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• M1 resonance in ${}^{208}$Pb within the self-consistent phonon-coupling model
• The phonon-coupling model for Skyrme forces

Cited by in corpus (1)

• Multiphonon structure of high-spin states in ${}^{40}$Ca, ${}^{90}$Zr, and ${}^{208}$Pb