Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1994-05-11
Phys.Rev.C50:1445-1455,1994
Physics
Nuclear Physics
Nuclear Theory
27 pages (Revtex) and 5 figures (available upon request), Preprint MPA-793 (March 1994)
Scientific paper
10.1103/PhysRevC.50.1445
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.
Ring Peter
Sharma Malti
Stoitsov Mario V.
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