dorsal/arxiv
View SchemaGenerator Coordinate Calculations for the Breathing-Mode Giant Monopole Resonance in Relativistic Mean Field Theory
| Authors | M. V. STOITSOV, P. RING, M. M. SHARMA |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9405011 |
| URL | https://arxiv.org/abs/nucl-th/9405011 |
| DOI | 10.1103/PhysRevC.50.1445 |
| Journal | Phys.Rev.C50:1445-1455,1994 |
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.
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"abstract": "The breathing-mode giant monopole resonance (GMR) is studied within the\nframework of the relativistic mean-field theory using the Generator Coordinate\nMethod (GCM). The constrained incompressibility and the excitation energy of\nisoscalar giant monopole states are obtained for finite nuclei with various\nsets of Lagrangian parameters. A comparison is made with the results of\nnonrelativistic constrained Skyrme Hartree-Fock calculations and with those\nfrom Skyrme RPA calculations. In the RMF theory the GCM calculations give a\ntransition density for the breathing mode, which resembles much that obtained\nfrom the Skyrme HF+RPA approach and also that from the scaling mode of the GMR.\nFrom the systematic study of the breathing-mode as a function of the\nincompressibility in GCM, it is shown that the GCM succeeds in describing the\nGMR energies in nuclei and that the empirical breathing-mode energies of heavy\nnuclei can be reproduced by forces with an incompressibility close to $K = 300$\nMeV in the RMF theory.",
"arxiv_id": "nucl-th/9405011",
"authors": [
"M. V. STOITSOV",
"P. RING",
"M. M. SHARMA"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.50.1445",
"journal_ref": "Phys.Rev.C50:1445-1455,1994",
"title": "Generator Coordinate Calculations for the Breathing-Mode Giant Monopole Resonance in Relativistic Mean Field Theory",
"url": "https://arxiv.org/abs/nucl-th/9405011"
},
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