Generator Coordinate Calculations for the Breathing-Mode Giant Monopole Resonance in Relativistic Mean Field Theory

Abstract

The breathing-mode giant monopole resonance (GMR) is studied within the framework of the relativistic mean-field theory using the Generator Coordinate Method (GCM). The constrained incompressibility and the excitation energy of isoscalar giant monopole states are obtained for finite nuclei with various sets of Lagrangian parameters. A comparison is made with the results of nonrelativistic constrained Skyrme Hartree-Fock calculations and with those from Skyrme RPA calculations. In the RMF theory the GCM calculations give a transition density for the breathing mode, which resembles much that obtained from the Skyrme HF+RPA approach and also that from the scaling mode of the GMR. From the systematic study of the breathing-mode as a function of the incompressibility in GCM, it is shown that the GCM succeeds in describing the GMR energies in nuclei and that the empirical breathing-mode energies of heavy nuclei can be reproduced by forces with an incompressibility close to $K=300$ MeV in the RMF theory.

27 pages (Revtex) and 5 figures (available upon request), Preprint MPA-793 (March 1994)

References in corpus (2)

• Anomaly in the charge radii of Pb isotopes
• Shell Effects in Nuclei Near Neutron Drip

Cited by in corpus (17)

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• Nuclear chiral dynamics and thermodynamics
• An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology
• Monopole giant resonances and nuclear compressibility in relativistic mean field theory
• The time-dependent generator coordinate method in nuclear physics
• Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
• The breathing-mode giant monopole resonance and the surface compressibility in the relativistic mean-field theory
• Second-order quasiparticle interaction in nuclear matter with chiral two-nucleon interactions
• Influence of the symmetry energy on the giant monopole resonance of neutron-rich nuclei
• A Skyrmion Fluid
• Scaling Calculation of Isoscalar Giant Resonances in Relativistic Thomas-Fermi Theory
• Scalar-vector Lagrangian without nonlinear self-interactions of bosonic fields in the relativistic mean-field theory
• Relativistic Transport Approach to Collective Nuclear Dynamics
• Sigma-omega meson coupling and properties of nuclei and nuclear matter
• Giant monopole energies from a constrained relativistic mean-field approach
• Softness of Sn isotopes in relativistic semi-classical approximation
• Incompressibility of nuclear matter, and Coulomb and volume-symmetry coefficients of nucleus incompressibility in the relativistic mean field theory