Extended Theory of Finite Fermi Systems (Collective Vibrations in Closed Shell Nuclei)

Abstract

We review an extension of Migdal's Theory of Finite Fermi Systems which has been developed and applied to collective vibrations in closed shell nuclei in the past ten years. This microscopic approach is based on a consistent use of the Green function method. Here one considers in a consistent way more complex 1p1h$\otimes$phonon configurations beyond the RPA correlations. Moreover, these configurations are not only included in the excited states but also explicitly in the ground states of nuclei. The method has been applied to the calculation of the strength distribution and transition densities of giant electric and magnetic resonances in stable and unstable magic nuclei. Using these microscopic transition densities, cross sections for inelastic electron and alpha scattering have been calculated and compared with the available experimental data. The method also allows one to extract in a consistent way the magnitude of the strength of the various multipoles in the energy regions in which several multipoles overlap. We compare the microscopic transition densities, the strength distributions and the various multipole strengths with their values extracted phenomenologically.

99 pages, 37 figures, 9 tables

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Cited by in corpus (79)

• Exotic modes of excitation in atomic nuclei far from stability
• Reference Database for Photon Strength Functions
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Particle-vibration coupling within covariant density functional theory
• Large-scale deformed quasiparticle random-phase approximation calculations of the $\gamma$-ray strength function using the Gogny force
• Subtraction method and stability condition in the extended RPA theories
• Relativistic quasiparticle time blocking approximation. II. Pygmy dipole resonance in neutron-rich nuclei
• Relativistic RPA in axial symmetry
• Isospin properties of electric dipole excitations in 48Ca
• Self-consistent calculations of the strength function and radiative neutron capture cross section for stable and unstable tin isotopes
• In medium dispersion relation effects in nuclear inclusive reactions at intermediate and low energies
• Electric dipole response of neutron-rich Calcium isotopes in relativistic quasiparticle time blocking approximation
• Pygmy Quadrupole Resonance in Skin Nuclei
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Excitation of nuclear giant resonances in neutrino scattering off nuclei
• Self-consistent calculations of the electric giant dipole resonances in light and heavy mass nuclei
• Application of an Extended Random Phase Approximation on Giant Resonances in Light, Medium and Heavy Mass Nuclei
• Breathing mode in an improved transport approach
• Enhanced low-energy $\gamma$-decay strength of ${}^{70}$Ni and its robustness within the shell model
• Description of the Giant Monopole Resonance in the Even-A ${}^{112-124}$Sn Isotopes within the Microscopic Model Including Quasiparticle-Phonon Coupling
• Nuclear electromagnetic dipole response with the Self-Consistent Green's Function formalism
• Coupling charge-exchange vibrations to nucleons in a relativistic framework: effect on Gamow-Teller transitions and beta-decay half-lives
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
• Nuclear response theory with multiphonon coupling in a covariant framework
• Self-consistent calculations of quadrupole moments of the first 2+ states in Sn and Pb isotopes
• Attractive and repulsive contributions of medium fluctuations to nuclear superfluidity
• Impact of the phonon coupling on the photon strength function
• Microscopic description of the pygmy and giant electric dipole resonances in stable Ca isotopes
• Self-consistency in the phonon space of the particle-phonon coupling model
• Direct-decay properties of Giant Resonances
• Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms
• Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?
• Structure and direct decay of Giant Monopole Resonances
• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• Pion-nucleon correlations in finite nuclei in a relativistic framework: effects on the shell structure
• Measurements of the 48Ca(γ,n) Reaction
• Extended Theory of Finite Fermi Systems: Application to the collective and non-collective E1 strength in ${}^{208}$Pb
• Pygmy and giant electric dipole responses of medium-heavy nuclei in a self-consistent Random Phase Approximation approach with finite-range interaction
• Microscopic response theory for strongly-coupled superfluid fermionic systems
• Magnetic excitations in nuclei with neutron excess
• Self-consistent calculations within the Extended Theory of Finite Fermi Systems
• Landau Migdal Theory of Interacting Fermi Systems: A Framework for Effective Theories in Nuclear Structure Physics
• Mean-field calculations of exotic nuclei ground states
• Monte Carlo Glauber model with meson cloud: predictions for 5.44 TeV Xe+Xe collisions
• Phonon coupling effects in magnetic moments of magic and semi-magic nuclei
• Gross, intermediate and fine structure of nuclear giant resonances: Evidence for doorway states
• M1 resonance in ${}^{208}$Pb within the self-consistent phonon-coupling model
• Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model
• Particle vibrational coupling in covariant density functional theory
• The phonon-coupling model for Skyrme forces
• Landau-Migdal vs. Skyrme
• Optimizing phonon space in the phonon-coupling model
• Learning the structure of giant resonances from their $\gamma$-decay
• Charge-exchange excitations with finite range interactions including tensor terms
• On unitarity of the particle-hole dispersive optical model
• Self-consistent calculations within the Green's function method including particle-phonon coupling and the single-particle continuum
• Collective nuclear vibrations and initial state shape fluctuations in central Pb+Pb collisions: resolving the $v_2$ to $v_3$ puzzle
• Self-consistent continuum random phase approximation calculations of ${}^4$He electromagnetic responses
• Microscopic Description of Isoscalar Giant Monopole Resonance in ${}^{48}$Ca
• Isoscalar and isovector giant resonances in 44Ca, 54Fe, 64,68Zn and 56,58,60,68Ni
• Quantum analysis of fluctuations of electromagnetic fields in heavy-ion collisions
• Reexamination of ${}^6$Li scattering as a Probe to Investigate the Isoscalar Giant Resonances in Nuclei
• Microscopic nature of the photon strength function: stable and unstable Ni and Sn isotopes
• Influence of collective nuclear vibrations on initial state eccentricities in Pb+Pb collisions
• Theory of nuclear collective vibrations
• Skewness of nuclear matter and three-particle correlations
• On microscopic theory of radiative nuclear reaction characteristics
• Spurious dipole mode in random-phase approximation and in the RPA-based models
• Impact of phonon coupling on the radiative nuclear reaction characteristics
• The collective excitation of nuclear matter in a bosonized Landau Fermi liquid model
• Effect of giant resonances on fluctuations of electromagnetic fields in heavy ion collisions
• Microscopic calculations of the characteristics of radiative nuclear reactions for double-magic nuclei
• Self-consistent description of high-spin states in doubly magic ${}^{208}$Pb
• Spreading widths of giant monopole resonance in the lead region: Random matrix approach
• Extended random-phase-approximation study of fragmentation of giant quadrupole resonance in ${}^{16}$O