Particle-vibration coupling within covariant density functional theory
| dc.creator | Litvinova, E. | |
| dc.creator | Ring, P. | |
| dc.creator | Tselyaev, V. | |
| dc.date | 2007-05-08 | |
| dc.date.accessioned | 2026-07-07T10:20:20Z | |
| dc.date.available | 2026-07-07T10:20:20Z | |
| dc.description | Covariant density functional theory, which has so far been applied only within the framework of static and time dependent mean field theory is extended to include Particle-Vibration Coupling (PVC) in a consistent way. Starting from a conventional energy functional we calculate the low-lying collective vibrations in Relativistic Random Phase Approximation (RRPA) and construct an energy dependent self-energy for the Dyson equation. The resulting Bethe-Salpeter equation in the particle-hole ($ph$) channel is solved in the Time Blocking Approximation (TBA). No additional parameters are used and double counting is avoided by a proper subtraction method. The same energy functional, i.e. the same set of coupling constants, generates the Dirac-Hartree single-particle spectrum, the static part of the residual $ph$-interaction and the particle-phonon coupling vertices. Therefore a fully consistent description of nuclear excited states is developed. This method is applied for an investigation of damping phenomena in the spherical nuclei with closed shells $^{208}$Pb and $^{132}$Sn. Since the phonon coupling terms enrich the RRPA spectrum with a multitude of $ph\otimes$phonon components a noticeable fragmentation of the giant resonances is found, which is in full agreement with experimental data and with results of the semi-phenomenological non-relativistic approach. | |
| dc.description | 40 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0705.1044 | |
| dc.identifier | http://arxiv.org/abs/0705.1044 | |
| dc.identifier | Phys.Rev.C75:064308,2007 | |
| dc.identifier | doi:10.1103/PhysRevC.75.064308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174813 | |
| dc.subject | Nuclear Theory | |
| dc.title | Particle-vibration coupling within covariant density functional theory | |
| dc.type | text |