REVIEW ON THEORETICAL RESEARCHES OF SUPERHEAVY NUCLEI

2008 ◽  
Vol 17 (supp01) ◽  
pp. 37-49
Author(s):  
ZHONGZHOU REN ◽  
TIEKUANG DONG ◽  
CHANG XU ◽  
DINGHAN CHEN
Keyword(s):  
Field Model ◽  
Mean Field ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Heavy Nuclei ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Heavy And Superheavy Nuclei ◽  
Energy Formula ◽  
Local Binding

We review the recent progress of theoretical researches on heavy nuclei and superheavy nuclei. At first we analyze the experimental data of long lifetime heavy nuclei and discuss their stability. Then the calculated binding energies and alpha-decay energies of heavy and superheavy nuclei from different models are compared and discussed. This includes the results from the local binding energy formula of heavy nuclei with Z ≥ 90 and N ≥ 130, those from the relativistic mean-field model, and from other models. For the local binding energy formula, it can reproduce experimental binding energies of known heavy and superheavy nuclei well. The relativistic mean-field model and non-relativistic mean-field model show that there is shape coexistence in superheavy nuclei. For some superheavy nuclei, superdeformed prolate shape can be their ground states and there are isomers in lowly excited states due to shape coexistence. The properties of some unknown superheavy nuclei are predicted. Some new views on the stability and on half-lives of heavy and superheavy nuclei are presented. Possible new phenomenon in superheavy region is analyzed and discussed.

ELECTROMAGNETIC AND ISOVECTOR TERMS IN STANDARD RELATIVISTIC MEAN FIELD MODEL

2011 ◽  
Vol 20 (09) ◽  
pp. 1983-2010 ◽  
Author(s):  
A. SULAKSONO
Keyword(s):  
Nuclear Matter ◽  
Field Model ◽  
Local Density ◽  
Mean Field ◽  
Binding Energies ◽  
Particle Spectrum ◽  
Mean Field Model ◽  
Density Dependent ◽  
Relativistic Mean Field ◽  
Finite Nuclei

The effects of auxiliary contribution in forms of electromagnetic tensors and relativistic electromagnetic exchange in local density approximation as well as δ meson and isovector density-dependent nonlinear terms in standard relativistic mean field model constrained by nuclear matter stability criteria in some selected finite nuclei and nuclear matter properties are studied. It is found that in the case of finite nuclei, the electromagnetic tensors play the most dominant part compared to other auxiliary terms. Due to the presence of electromagnetic tensors, the binding energies prediction of the model can be improved quite significantly. However, these terms do not yield demanded effects for rms radii prediction. In the case of nuclear matter properties, the isovector density-dependent nonlinear term plays the most crucial role in providing predictions which are quite compatible with experimental constraints. We have also shown these auxiliary contributions are indeed unable to improve the single particle spectrum results of the model.

STRUCTURE OF LIGHT NUCLEI IN RELATIVISTIC MEAN FIELD THEORY

1993 ◽  
Vol 02 (02) ◽  
pp. 471-477 ◽  
Author(s):  
S.K. PATRA
Keyword(s):  
Field Theory ◽  
Field Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Experimental Results ◽  
Light Nuclei ◽  
Mean Field Model ◽  
Bulk Properties ◽  
Relativistic Mean Field

Bulk properties such as the binding energies and rms radii are calculated for some light (Z=1−8) nuclei using deformed relativistic mean-field model. Severe discrepancy between the calculated and experimental results are pointed out for the very light nuclei. We discuss possible causes of discrepancy for very light nuclei.

scholarly journals ENERGY SYSTEMATICS OF HEAVY NUCLEI — MEAN FIELD MODELS IN COMPARISON

2011 ◽  
Vol 20 (06) ◽  
pp. 1379-1390 ◽  
Author(s):  
P.-G. REINHARD ◽  
B. K. AGRAWAL
Keyword(s):  
Mean Field ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Heavy Nuclei ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Mean Field Models ◽  
Opposite Trend ◽  
Super Heavy Nuclei ◽  
Rmf Model

We compare the systematics of binding energies computed within the standard and extended versions of the relativistic mean-field (RMF) model and the Skyrme–Hartree–Fock (SHF) model. The general trends for the binding energies for super-heavy nuclei are significantly different for these models. The SHF models tend to underbind the superheavy nuclei, while RMF models show just the opposite trend. The extended RMF model seems to provide remarkable improvements over the results obtained for the standard RMF model.

EVOLUTION OF SHELL STRUCTURE IN NUCLEI

2011 ◽  
Vol 20 (08) ◽  
pp. 1663-1675 ◽  
Author(s):  
A. BHAGWAT ◽  
Y. K. GAMBHIR
Keyword(s):  
Shell Structure ◽  
Crucial Role ◽  
Field Model ◽  
Mean Field ◽  
Mass Region ◽  
The Other ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Shell Closures ◽  
Low Mass

Systematic investigations of the pairing and two-neutron separation energies which play a crucial role in the evolution of shell structure in nuclei, are carried out within the framework of relativistic mean-field model. The shell closures are found to be robust, as expected, up to the lead region. New shell closures appear in low mass region. In the superheavy region, on the other hand, it is found that the shell closures are not as robust, and they depend on the particular combinations of neutron and proton numbers. Effect of deformation on the shell structure is found to be marginal.

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