2001/10/30 by S. K. Patra, X. Viñas, X. Vinas +2 · 15 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Excitation #Fermi Gamma-ray Space Telescope #Isoscalar #Magnetic monopole #Mathematics #Mean field theory #Nuclear matter #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Quadrupole #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scaling #nucl-th
paper · pdf · doi:10.1016/s0375-9474(01)01531-7
published in Nuclear Physics A 703(1-2), 240-268 (Elsevier BV) · 41 pages, LaTeX, 4 eps figures
arxiv created 2001/10/30 · openalex publication_date 2002/05/01 · arxiv updated 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 sigma-omega 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 non-linear parameter sets reproduce the empirical trends reasonably well.