Self-consistency in the phonon space of the particle-phonon coupling model

Abstract

In the paper the non-linear generalization of the time blocking approximation (TBA) is presented. The TBA is one of the versions of the extended random-phase approximation (RPA) developed within the Green-function method and the particle-phonon coupling model. In the generalized version of the TBA the self-consistency principle is extended onto the phonon space of the model. The numerical examples show that this non-linear version of the TBA leads to the convergence of the results with respect to enlarging the phonon space of the model.

12 pages, 10 figures, 1 table

References in corpus (6)

• Second RPA and correlated realistic interactions
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Spectroscopic properties of nuclear Skyrme energy density functionals
• Nuclear response theory with multiphonon coupling in a covariant framework
• Towards a self-consistent dynamical nuclear model
• Optimizing phonon space in the phonon-coupling model

Cited by in corpus (16)

• Toward an accurate strongly-coupled many-body theory within the equation of motion framework
• Evolution of the dipole polarizability in the stable tin isotope chain
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• Microscopic response theory for strongly-coupled superfluid fermionic systems
• M1 resonance in ${}^{208}$Pb within the self-consistent phonon-coupling model
• Particle-vibration coupling for giant resonances beyond the diagonal approximation
• Many-body approach to superfluid nuclei in axial geometry
• Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model
• Nuclear Shell Structure in a Finite-Temperature Relativistic Framework
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Spurious dipole mode in random-phase approximation and in the RPA-based models
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Multiphonon structure of high-spin states in ${}^{40}$Ca, ${}^{90}$Zr, and ${}^{208}$Pb
• Self-consistent description of high-spin states in doubly magic ${}^{208}$Pb
• Nuclear response at zero and finite temperature