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 nonlinear σ-ω parameter sets of...

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Bibliographic Details
Authors: Patra, S. K., Viñas Gausí, Xavier, Centelles Aixalà, Mario, Estal, Manuel del
Format: article
Status:Versión aceptada para publicación
Publication Date:2002
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/45483
Online Access:https://hdl.handle.net/2445/45483
Access Level:Open access
Keyword:Ressonància
Teoria quàntica de camps
Física nuclear
Mesons (Física nuclear)
Resonance
Quantum field theory
Nuclear physics
Mesons (Nuclear physics)
Description
Summary: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 nonlinear σ-ω parameter sets of common use in reproducing the experimental data. For monopole oscillations the calculations agree better with experiment when the nuclear matter incompressibility of the relativistic interaction lies in the range 220-260 MeV. The breathing-mode energies of the scaling method compare satisfactorily with those obtained in relativistic RPA and time-dependent mean-field calculations. For quadrupole oscillations, all the analyzed nonlinear parameter sets reproduce the empirical trends reasonably well.