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Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
Author(s) -
Li-Sheng Geng,
H. Toki,
Jie Meng
Publication year - 2005
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.113.785
Subject(s) - physics , ground state , mean field theory , nuclear drip line , pairing , neutron , nuclear physics , line (geometry) , field (mathematics) , atomic physics , quantum mechanics , geometry , superconductivity , mathematics , pure mathematics
We perform a systematic study of the ground-state properties of all thenuclei from the proton drip line to the neutron drip line throughout theperiodic table employing the relativistic mean field model. The TMA parameterset is used for the mean-field Lagrangian density, and a state-dependent BCSmethod is adopted to describe the pairing correlation. The ground-stateproperties of a total of 6969 nuclei with $Z,N\ge 8$ and $Z\le 100$ from theproton drip line to the neutron drip line, including the binding energies, theseparation energies, the deformations, and the rms charge radii, are calculatedand compared with existing experimental data and those of the FRDM and HFB-2mass formulae. This study provides the first complete picture of the currentstatus of the descriptions of nuclear ground-state properties in therelativistic mean field model. The deviations from existing experimental dataindicate either that new degrees of freedom are needed, such as triaxialdeformations, or that serious effort is needed to improve the currentformulation of the relativistic mean field model.Comment: 16 pages, 5 figures, to appear in Progress of Theoretical Physic

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