dorsal/arxiv
View SchemaRare-Earth Nuclei: Radii, Isotope-Shifts and Deformation Properties in the Relativistic Mean Field Theory
| Authors | G. A. Lalazissis, M. M. Sharma, P. Ring |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510058 |
| URL | https://arxiv.org/abs/nucl-th/9510058 |
| DOI | 10.1016/0375-9474(95)00436-X |
| Journal | Nucl.Phys. A597 (1996) 35-65 |
Abstract
A systematic study of the ground-state properties of even-even rare earth nuclei has been performed in the framework of the Relativistic Mean-Field (RMF) theory using the parameter set NL-SH. Nuclear radii, isotope shifts and deformation properties of the heavier rare-earth nuclei have been obtained, which encompass atomic numbers ranging from Z=60 to Z=70 and include a large range of isospin. It is shown that RMF theory is able to provide a good and comprehensive description of the empirical binding energies of the isotopic chains. At the same time the quadrupole deformations $\beta_{2}$ obtained in the RMF theory are found to be in good agreement with the available empirical values. The theory predicts a shape transition from prolate to oblate for nuclei at neutron number N=78 in all the chains. A further addition of neutrons up to the magic number 82 brings about the spherical shape. For nuclei above N=82, the RMF theory predicts the well-known onset of prolate deformation at about N=88, which saturates at about N=102. The deformation properties display an identical behaviour for all the nuclear chains. A good description of the above deformation transitions in the RMF theory in all the isotopic chains leads to a successful reproduction of the anomalous behaviour of the empirical isotopic shifts of the rare-earth nuclei. The RMF theory exhibits a remarkable success in providing a unified and microscopic description of various empirical data.
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"abstract": "A systematic study of the ground-state properties of even-even rare earth\nnuclei has been performed in the framework of the Relativistic Mean-Field (RMF)\ntheory using the parameter set NL-SH. Nuclear radii, isotope shifts and\ndeformation properties of the heavier rare-earth nuclei have been obtained,\nwhich encompass atomic numbers ranging from Z=60 to Z=70 and include a large\nrange of isospin. It is shown that RMF theory is able to provide a good and\ncomprehensive description of the empirical binding energies of the isotopic\nchains. At the same time the quadrupole deformations $\\beta_{2}$ obtained in\nthe RMF theory are found to be in good agreement with the available empirical\nvalues. The theory predicts a shape transition from prolate to oblate for\nnuclei at neutron number N=78 in all the chains. A further addition of neutrons\nup to the magic number 82 brings about the spherical shape. For nuclei above\nN=82, the RMF theory predicts the well-known onset of prolate deformation at\nabout N=88, which saturates at about N=102. The deformation properties display\nan identical behaviour for all the nuclear chains. A good description of the\nabove deformation transitions in the RMF theory in all the isotopic chains\nleads to a successful reproduction of the anomalous behaviour of the empirical\nisotopic shifts of the rare-earth nuclei. The RMF theory exhibits a remarkable\nsuccess in providing a unified and microscopic description of various empirical\ndata.",
"arxiv_id": "nucl-th/9510058",
"authors": [
"G. A. Lalazissis",
"M. M. Sharma",
"P. Ring"
],
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"doi": "10.1016/0375-9474(95)00436-X",
"journal_ref": "Nucl.Phys. A597 (1996) 35-65",
"title": "Rare-Earth Nuclei: Radii, Isotope-Shifts and Deformation Properties in the Relativistic Mean Field Theory",
"url": "https://arxiv.org/abs/nucl-th/9510058"
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