Isoscalar Giant Quadrupole Resonance State in the Relativistic Approach with the Momentum-Dependent Self-Energies
نویسندگان
چکیده
We study the excited energy of the isoscalar giant quadrupole resonance with the scaling method in the relativistic many-body framework. In this calculation we introduce the momentum-dependent parts of the Dirac self-energies arising from the one-pion exchange on the assumption of the pseudo-vector coupling with nucleon field. It is shown that this momentumdependence enhances the Landau mass significantly and thus suppresses the quadrupole resonance energy even giving the small Dirac effective mass which causes a problem in the momentum-independent mean-field theory. Typeset using REVTEX
منابع مشابه
Scaling Calculation of Isoscalar Giant Resonances in Relativistic Thomas–Fermi Theory
We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas–Fermi approach to relativistic mean field theory. We study the ability of several non-linear σ − ω parameter sets of common use in reproducing the experimental data. For monopole oscillations the calculations a...
متن کاملRelativistic mean-field dynamics of giant resonances
Models based on quantum hadrodynamics provide a consistent description of the nuclear many-body system in terms of interacting baryons and mesons. In the self-consistent mean-field approximation, the time-dependent model has been applied in the analysis of the dynamics of giant resonances. The calculated excitation energies and transition densities of isoscalar giant monopole resonances, restri...
متن کاملSelf-consistent Description of Collective Excitations in the Unitary Correlation Operator Method
The fully self-consistent Random Phase Approximation (RPA) is constructed within the Unitary Correlation Operator Method (UCOM), which describes the dominant interaction-induced short-range central and tensor correlations by a unitary transformation. Based on the correlated Argonne V18 interaction, the RPA is employed in studies of multipole response in closed-shell nuclei across the nuclide ch...
متن کاملChaos Driven Decay of Nuclear Giant Resonances: Route to Quantum Self-Organization
The influence of background states with increasing level of complexity on the strength distribution of the isoscalar and isovector giant quadrupole resonance in Ca is studied. It is found that the background characteristics, typical for chaotic systems, strongly affects the fluctuation properties of the strength distribution. In particular, the small components of the wave function obey a scali...
متن کاملThe time-dependent relativistic mean-field theory and the random phase approximation
The Relativistic Random Phase Approximation (RRPA) is derived from the Time-dependent Relativistic Mean Field (TD RMF) theory in the limit of small amplitude oscillations. In the no-sea approximation of the RMF theory, the RRPA configuration space includes not only the ususal particle-hole ph-states, but also αh-configurations, i.e. pairs formed from occupied states in the Fermi sea and empty n...
متن کامل