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Hartree-Fock+BCS Approach to Unstable Nuclei with the Skyrme Force
Author(s) -
Naoki Tajima
Publication year - 2001
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.142.265
Subject(s) - cartesian coordinate system , physics , hartree–fock method , representation (politics) , polygon mesh , fourier transform , point (geometry) , mathematical physics , quantum mechanics , geometry , mathematics , politics , political science , law
We reanalyze the results of our extensive Hartree-Fock + BCS calculation fromnew points of view paying attention to the properties of unstable nuclei. Thecalculation has been done with the Skyrme SIII force for the ground and shapeisomeric states of 1029 even-even nuclei ranging 2 <= Z <= 114. We also discussthe advantages of the employed three-dimensional Cartesian-mesh representation,especially on its remarkably high precision with apparently coarse meshes whenapplied to atomic nuclei. In Appendices we give the coefficients offinite-point numerical differentiation and integration formulae suitable forCartesian mesh representation and elucidate the features of each formula andthe differences from a method based on the Fourier transformation.Comment: 31 pages including 21 figures, Latex2

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