Generator coordinate calculations for breathing-mode giant monopole resonance in the relativistic mean-field theory

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.1445· OSTI ID:7006718

Stoitsov, M V; Ring, P; Sharma, M M ^[1]

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1. Physik Department, Technische Universitaet Muenchen, D-85748 Garching (Germany) Max-Planck-Institut fuer Astrophysik, Karl-Schwarzschild-Strasse 1, D-85740 Garching (Germany)

The breathing-mode giant monopole resonance (GMR) is studied within the framework of the relativistic mean-field theory (RMF) 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 (HF) calculations and with those from Skyrme random phase approximation (RPA) calculations. In the RMF theory the GCM calculations give a transition density for the breathing mode, which greatly resembles that obtained from the Skyrme HF+RPA approach and also that from the scaling mode of the GMA. 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 [ital K]=300 MeV in the RMF theory.

• OSTI ID: 7006718
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:3; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120 -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
ENERGY RANGE
GENERATOR-COORDINATE METHOD
GIANT RESONANCE
HARTREE-FOCK METHOD
MATTER
MEAN-FIELD THEORY
MONOPOLES
NUCLEAR MATTER
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
RANDOM PHASE APPROXIMATION
RELATIVISTIC RANGE
RESONANCE
SKYRME POTENTIAL