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.

scholarly journals Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around Hs-270

2021 ◽  
Author(s):  
Xiao-Qian Wang ◽  
Xiang-Xiang Sun ◽  
Shan-Gui 周善贵 Zhou
Keyword(s):  
Single Particle ◽  
Mean Field ◽  
Higher Order ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Effective Interactions ◽  
Relativistic Mean Field ◽  
Order Deformation ◽  
Particle Spectra ◽  
Rmf Model

Abstract We study the effects of higher-order deformations βλ (λ = 4,6,8, and 10) on the ground state properties of superheavy nuclei (SHN) near the deformed doubly magic nucleus 270Hs by using the multidimensionally-constrained (MDC) relativistic mean-field (RMF) model with five effective interactions PC-PK1, PK1, NL3∗, DD-ME2, and PKDD. The doubly magic properties of 270Hs are featured by the large energy gaps at N = 162 and Z = 108 in the single-particle spectra. By investigating the binding energies and single-particle levels of270Hs in multidimensional deformation space, we find that the deformation β6 has the greatest impact on the binding energy among these higher-order deformations and influences the shell gaps considerably. Similar conclusions hold for other SHN near 270Hs. Our calculations demonstrate that the deformation β6 must be considered when studying SHN by using MDC-RMF.

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.

THE INNER CRUST OF NEUTRON STARS IN RELATIVISTIC MEAN FIELD APPROACH

2008 ◽  
Vol 17 (09) ◽  
pp. 1765-1773 ◽  
Author(s):  
JIGUANG CAO ◽  
ZHONGYU MA ◽  
NGUYEN VAN GIAI
Keyword(s):  
Boundary Conditions ◽  
Neutron Stars ◽  
Mean Field ◽  
Bcs Theory ◽  
Neutron Density ◽  
Field Approach ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Rmf Model

The microscopic properties and superfluidity of the inner crust in neutron stars are investigated in the framework of the relativistic mean field(RMF) model and BCS theory. The Wigner-Seitz(W-S) cell of inner crust is composed of neutron-rich nuclei immersed in a sea of dilute, homogeneous neutron gas. The pairing properties of nucleons in the W-S cells are treated in BCS theory with Gogny interaction. In this work, we emphasize on the choice of the boundary conditions in the RMF approach and superfluidity of the inner crust. Three kinds of boundary conditions are suggested. The properties of the W-S cells with the three kinds of boundary conditions are investigated. The neutron density distributions in the RMF and Hartree-Fock-Bogoliubov(HFB) models are compared.

STRUCTURE OF SUPER-HEAVY NUCLEI IN MEAN-FIELD MODELS

2001 ◽  
Author(s):  
K. Rutz ◽  
T. Bürvenich ◽  
M. Bender ◽  
P.–G. Reinhard ◽  
J. A. Maruhn ◽  
...  
Keyword(s):  
Mean Field ◽  
Heavy Nuclei ◽  
Mean Field Models ◽  
Super Heavy Nuclei

TEST OF NL-RA1 RELATIVISTIC EFFECTIVE INTERACTION FOR THE STRUCTURE OF DEFORMED AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250055 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Decay Chain ◽  
Alpha Decay ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Relativistic Mean Field ◽  
Relative Errors

The NL-RA1 effective interaction of the relativistic mean field theory is employed to study the structure of deformed and superheavy nuclei, using an axially deformed harmonic oscillator basis. It is found that a fair agreement with the experimental data is obtained for the binding energies (BE), deformation parameters and charge radii. Comparison with NL-Z2, NLSH and NL3 interactions show that NL-Z2 gives good binding but larger radii, while NL-SH gives good radii but larger binding. The NL-RA1 interaction is also tested for the new deformed superheavy element with Z≥98. Excellent agreement with the experimental binding is obtained, where the relative error in BEs of Cf, Fm, No, Rf, Sg and Ea (Z = 110) isotopes are found to be of the order ~0.1%. The NL3 predicted larger binding and larger relative errors ~0.2–0.5%. Furthermore, the experimental Q-values of the alpha-decay of the superheavy elements 270110, 288114 and 292116 are satisfactory reproduced by NL-RA1 interaction, where the agreement is much better than that predicted by the phenomenological mass FRDM model. Furthermore, the alpha-decay chain of element 294118 are also better reproduced by NL-RA1 interaction.

Nuclear structure and decay properties of Nd isotopes

2018 ◽  
Vol 27 (07) ◽  
pp. 1850059
Author(s):  
M. Ouhachi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Binding Energies ◽  
Neutron Drip Line ◽  
Nd Isotopes ◽  
Decay Modes ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties

Using the Hartree–Fock–Bogoliubov mean-field theory, the ground-state structural and decay properties of Nd isotopes are investigated from the proton-rich side up to the neutron drip-line. Quantities such as binding energies per nucleon, one and two-neutron separation energies, rms charge radii, and quadrupole deformation parameters have been calculated. Compared with the relativistic mean-field results, the present calculations are in better agreement with the available experimental data. The results show clearly the signature of a shape transition at [Formula: see text] and an abrupt increase in the deformation near the neutron drip-line. Further, the possible decay modes like alpha, cluster and [Formula: see text]-decay are analyzed in a unified fission model and phenomenological formulas. Overall, a good agreement is achieved between the calculated and experimental [Formula: see text]-values and half-lives wherever available. The most likely decay modes are thus identified throughout the isotopic chain.

GROUND STATE PROPERTIES OF SUPERHEAVY NUCLEI IN RELATIVISTIC MEAN FIELD THEORY

2006 ◽  
Vol 15 (07) ◽  
pp. 1613-1624
Author(s):  
H. F. ZHANG ◽  
J. Q. LI ◽  
W. ZUO ◽  
X. H. ZHOU ◽  
Z. G. GAN ◽  
...  
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Decay Chain ◽  
Stable Region ◽  
Bcs Theory ◽  
Heavy Nuclei ◽  
Relativistic Mean Field ◽  
The Stability ◽  
Super Heavy Nuclei ◽  
The Continuum

In the framework of the relativistic mean field (RMF) theory, the stability and ground properties of super-heavy nuclei are discussed. Our study indicated that the current synthesized super-heavy nuclei (SHN) actually appear in the stable region, and adding more neutrons will not increase their stability. The study of nuclei from 287115 α decay chain showed that they are usually deformed, the magnitudes of their shell gaps are much smaller than those of nuclei before the actinium region, so that the shell effect is weakened, and SHN are usually not stable. A common phenomenon is that the Fermi surface of the proton is close to the continuum, the resonant continuums exist in SHN, because the SHN are usually neutron deficient. Although bulk properties can be described by the RMF+BCS theory, further study is needed. Density dependent delta pairing interaction can improve the treatment of the pairing and thus improve the level distribution in the continuum.

AN INVESTIGATION OF THE NUCLEAR STRUCTURES OF EVEN–EVEN NEUTRON-RICH Sr, Zr AND Mo ISOTOPES

2013 ◽  
Vol 28 (05) ◽  
pp. 1350007 ◽  
Author(s):  
HÜSEYIN AYTEKIN ◽  
OZAN ARTUN
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Mass Region ◽  
Skyrme Force ◽  
Binding Energies ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Nuclear Structures ◽  
Mo Isotopes

Binding energies and their differences are investigated to evaluate the two-neutron separation energies (S2n), the two-proton separation energies (S2p) and the average proton–neutron interaction strengths (δVpn) of neutron-rich Sr , Zr and Mo isotopes in the mass region A = 86–110, including even–even nuclei. Calculations were performed using the Hartree–Fock–Bogoliubov (HFB) method with different Skyrme force parametrizations. The obtained results are discussed and compared with the results of experimental and relativistic mean-field theory (RMFT).

EXOTIC NUCLEAR STRUCTURES WITH ISOSPIN DEPENDENT INTERACTIONS IN RELATIVISTIC MEAN-FIELD MODELS

2006 ◽  
Vol 15 (07) ◽  
pp. 1487-1494
Author(s):  
W. Z. JIANG
Keyword(s):  
Mean Field ◽  
Exotic Nuclei ◽  
Heavy Nuclei ◽  
Charge Density Distribution ◽  
Tensor Coupling ◽  
Relativistic Mean Field ◽  
Mean Field Models ◽  
Coupling Terms ◽  
Nuclear Structures

The properties of light exotic nuclei far off β-stability are studied using relativistic mean field (RMF) models considering the nonlinear isoscalar-isovector coupling terms that modify the density dependence of the symmetry energy. The ρNN tensor coupling is included. The neutron thickness of some light exotic nuclei near neutron drip lines is as uncertain as that of heavy nuclei. The uncertainty of these light exotic nuclei is enhanced by the inclusion of the ρNN tensor coupling subject to the 2s1/2 occupation of the out-layer neutrons. The charge density distribution of exotic nuclei on both sides of drip lines are considerably modified by the isospin dependent interactions. The role of multi-Λ hypernuclei in extending the drip lines are discussed.

PYGMY DIPOLE RESONANCE AND TWO NEUTRON SEPARATION ENERGIES IN SOFT AND HEAVY NUCLEI

2010 ◽  
Vol 19 (07) ◽  
pp. 1371-1381
Author(s):  
KUTSAL BOZKURT
Keyword(s):  
Mean Field Theory ◽  
Random Phase ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Tensor Interaction ◽  
Binding Energies ◽  
Heavy Nuclei ◽  
Hartree Fock ◽  
Dipole Resonance ◽  
Pygmy Dipole Resonance

We investigate isovector pygmy dipole resonance (IVPDR) for the case of neutron-rich soft nuclei 68 Ni , and heavy nuclei such as 112 Sn and 208 Pb using effective nucleon–nucleon Skyrme interaction. We use the mean-field theory and employ the random phase approximation (RPA). We observe that our results for the pygmy dipole resonance (PDR) for neutron-rich nuclei are in reasonable agreement with their experimental results. We also predict PDR for very neutron-rich heavy nuclei. We then study two-neutron separation Skyrme energies (S2n) using the Hartree–Fock + BCS with and without tensor interaction in the same nucleus and compare our results with their experimental values. We see that the total binding energies of nuclei 208 Pb are not extremely sensitive to the tensor interaction.

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