Particle-vibration coupling for giant resonances beyond the diagonal approximation

Abstract

A self-consistent particle-vibration coupling (PVC) model without diagonal approximation is presented. The diagonal approximation, that neglects completely the interaction between the doorway states, has been removed by taking into account the interaction between the two particle-holes inside the doorway states. As applications, isoscalar giant monopole, dipole, and quadrupole resonances in 16O are investigated based on the use of Skyrme functionals. The diagonal approximation is found to clearly impact the strength distribution of the giant quadrupole resonance, and the description of the experimental data is improved without this approximation. The impact of the diagonal approximation is analyzed in detail, especially its effect on the eigenenergies and the induced coupling between neutron and proton particle-hole configurations. The latter is a direct and physically sound effect of the improvement on our formalism. The importance of using self-consistently the full effective interaction in the PVC vertex, and the effect of its renormalization via the subtraction method, are also discussed. For completeness, we also analyze the dependence of our results on the Skyrme parametrization.

arXiv comment22 pages, 18 figures

References in corpus (34)

• Nuclear weak-interaction processes in stars
• Exotic modes of excitation in atomic nuclei far from stability
• The Compression-Mode Giant Resonances and Nuclear Incompressibility
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• A new Skyrme interaction with improved spin-isospin properties
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Escape and Spreading Properties of Charge-Exchange Resonances in Bi 208
• QRPA plus Phonon Coupling Model and the Photoabsorbtion Cross Section for ${}^{18,20,22}$O
• 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
• Low-lying dipole response: isospin character and collectivity in ${}^{68}$Ni, ${}^{132}$Sn and ${}^{208}$Pb
• Particle-vibration coupling effect on the $\beta$-decay of magic nuclei
• Isoscalar monopole excitations in ${}^{16}$O: $\alpha$-cluster states at low energy and mean-field-type states at higher energy
• Subtraction method in the second random--phase approximation: first applications with a Skyrme energy functional
• Collective nuclear excitations with Skyrme-Second RPA
• Second RPA and correlated realistic interactions
• Large-scale second RPA calculations with finite-range interactions
• Relativistic two-phonon model for low-energy nuclear response
• Description of electric dipole excitations in the tin isotopes within the quasiparticle time blocking approximation
• Properties of single-particle states in a fully self-consistent particle-vibration coupling approach
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Toward an accurate strongly-coupled many-body theory within the equation of motion framework
• Coupling charge-exchange vibrations to nucleons in a relativistic framework: effect on Gamow-Teller transitions and beta-decay half-lives
• Electric dipole strength and dipole polarizability in ${}^{48}$Ca within a fully self-consistent second random-phase approximation
• Nuclear response theory with multiphonon coupling in a covariant framework
• Towards a self-consistent dynamical nuclear model
• Self-consistency in the phonon space of the particle-phonon coupling model
• Interplay between low-lying isoscalar and isovector dipole modes: a comparative analysis between semi-classical and quantum approaches
• A systematic study of giant quadrupole resonances with the subtracted second random--phase approximation: beyond--mean--field centroids and fragmentation
• Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model

Cited by in corpus (5)

• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Learning the structure of giant resonances from their $\gamma$-decay
• Nuclear Shell Structure in a Finite-Temperature Relativistic Framework
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Theory of nuclear collective vibrations