Structural properties of heavy and superheavy nuclei in a semi-microscopic approach

2016 ◽  
Vol 25 (01) ◽  
pp. 1650004 ◽  
Author(s):  
M. Ismail ◽  
A. Y. Ellithi ◽  
A. Adel ◽  
Hisham Anwer
Keyword(s):  
Total Energy ◽  
Structural Properties ◽  
Theoretical Models ◽  
Nucleon Nucleon ◽  
Deformation Energy ◽  
Superheavy Nuclei ◽  
Microscopic Approach ◽  
Heavy And Superheavy Nuclei ◽  
Energy Part ◽  
Nucleon Nucleon Interaction

The structure of some heavy and superheavy nuclei with [Formula: see text] and [Formula: see text] is studied using a semi-microscopic model. In this approach, the macroscopic energy part of the total energy of a nucleus is obtained from the Skyrme nucleon–nucleon interaction in the semi-classical extended Thomas–Fermi approach. The microscopic shell-plus pairing correction energies are calculated in Strutinsky’s approach. Within this semi-microscopic approach, the total energy surfaces are investigated in multidimensional deformation space. For each nucleus, the model predictions for the binding energy, deformation energy, the deformation parameters and comparison with other theoretical models are presented. The proposed model shows a significant consistency with other models, and it is found to be successful in reproducing the structural properties of nuclei in heavy and superheavy region.

scholarly journals The Ground-State Calculations for Some Nuclei by Mesonic Potential of Nucleon-Nucleon Interaction

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
K. M. Hanna ◽  
S. H. M. Sewailem ◽  
R. Hussien ◽  
L. I. Abou-Salem ◽  
Asmaa G. Shalaby
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Vector Fields ◽  
Theoretical Models ◽  
Nucleon Nucleon ◽  
Particle Energy ◽  
Exchange Potential ◽  
Hartree Fock ◽  
Scalar And Vector Fields ◽  
Nucleon Nucleon Interaction

The interaction of nucleon-nucleon (NN) has certain physical characteristics, indicated by nucleon, and meson degrees of freedom. The main purpose of this work is calculating the ground-state energies of  12H and  24He through the two-body system with the exchange of mesons (π, σ, and ω) that mediated between two nucleons. This paper investigates the NN interaction based on the quasirelativistic decoupled Dirac equation and self-consistent Hartree-Fock formulation. We construct a one-boson exchange potential (OBEP) model, where each nucleon is treated as a Dirac particle and acts as a source of pseudoscalar, scalar, and vector fields. The potential in the present work is analytically derived with two static functions of meson, the single-particle energy-dependent (SPED) and generalized Yukawa (GY) functions; the parameters used in meson functions are just published ones (mass, coupling constant, and cutoff parameters). The theoretical results are compared to other theoretical models and their corresponding experimental data; one can see that the SPED function gives more satisfied agreement than the GY function in the case of the considered nuclei.

scholarly journals Isospin dynamics in nuclear structure

2018 ◽  
Vol 182 ◽  
pp. 02075
Author(s):  
Elena Litvinova ◽  
Caroline Robin ◽  
Peter Schuck
Keyword(s):  
Nucleon Nucleon ◽  
Many Body ◽  
Rare Isotope ◽  
Rare Isotope Beam ◽  
Theoretical Approaches ◽  
Energy Part ◽  
Body Dynamics ◽  
Nucleon Nucleon Interaction ◽  
The Many ◽  
Nuclear Response

We discuss some special aspects of the nuclear many-body problem related to isospin transfer. The major quantity of interest is the in-medium propagator of a particlehole configuration of the proton-neutron character, which determines the nuclear response to isospin transferring external fields. One of the most studied excitation modes is the Gamow-Teller resonance (GTR), which can, therefore, be used as a sensitive test for the theoretical approaches. Its low-energy part, which is responsible for the beta decay halflives, is especially convenient for this. Models benchmarked against the GTR can be used to predict other, more exotic, excitations studied at nuclear rare isotope beam facilities and in astrophysics. As far as the precision is concerned, the major problem in such an analysis is to disentangle the effects related to the underlying interaction and those caused by the many-body correlations. Therefore, approaches (i) based on fundamental concepts for the nucleon-nucleon interaction which (ii) include complex many-body dynamics are the preferred ones. We discuss progress and obstacles on the way to such approaches.

EFFECT OF NON-AXIAL DEFORMATIONS ON THE FISSION BARRIER OF HEAVY AND SUPERHEAVY NUCLEI

2009 ◽  
Vol 18 (04) ◽  
pp. 914-918 ◽  
Author(s):  
M. KOWAL ◽  
A. SOBICZEWSKI
Keyword(s):  
Large Deformation ◽  
Neutron Number ◽  
Quadrupole Deformation ◽  
Fission Barrier ◽  
Superheavy Nuclei ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Proton Number ◽  
Heavy And Superheavy Nuclei

The effect of the non-axial quadrupole deformation γ2 on the height of the static fission barrier B f of heaviest nuclei is studied. Even-even nuclei with the proton number 92 ≤ Z ≤ 122 and the neutron number 136 ≤ N ≤ 188 are considered. The analysis is done within a macroscopic-microscopic approach with the use of a large deformation space. It is found that the effect reduces B f by up to about 2 MeV.

EFFECT OF NON-AXIAL DEFORMATIONS OF HIGHER MULTIPOLARITY ON THE FISSION-BARRIER HEIGHT OF HEAVIEST NUCLEI

2010 ◽  
Vol 19 (04) ◽  
pp. 493-499 ◽  
Author(s):  
A. SOBICZEWSKI ◽  
P. JACHIMOWICZ ◽  
M. KOWAL
Keyword(s):  
Barrier Height ◽  
Neutron Number ◽  
Fission Barrier ◽  
Superheavy Nuclei ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Main Attention ◽  
Proton Number ◽  
Heavy And Superheavy Nuclei

The static fission-barrier height [Formula: see text] of heaviest nuclei is studied in a multidimensional deformation space. The main attention is given to the effect of the hexadecapole non-axial shapes on [Formula: see text]. The analysis is performed within a macroscopic-microscopic approach. A 10-dimensional deformation space is used. A large number of about 300 even-even heavy and superheavy nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 134 ≤ N ≤ 192 are considered. It is found that the inclusion of the non-axial hexadecapole shapes lowers the barrier by up to about 1.5 MeV.

SADDLE-POINT SHAPES OF HEAVY AND SUPERHEAVY NUCLEI

2008 ◽  
Vol 17 (01) ◽  
pp. 168-176 ◽  
Author(s):  
A. SOBICZEWSKI ◽  
M. KOWAL ◽  
L. SHVEDOV
Keyword(s):  
Potential Energy ◽  
Saddle Point ◽  
Large Deformation ◽  
Ground State ◽  
Neutron Number ◽  
Superheavy Nuclei ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Main Attention ◽  
Heavy And Superheavy Nuclei

The potential energy of the heaviest nuclei is analyzed in a large deformation space. The main attention is given to shapes of these nuclei at their saddle point and to the comparison of these shapes with those at the ground state. The shapes are analyzed in a 10-dimensional deformation space. The analysis is performed within a macroscopic-microscopic approach. Even-even nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 138 ≤ N ≤ 194 are considered.

PROPERTIES OF HEAVIEST NUCLEI AT THE SADDLE-POINT CONFIGURATION

2010 ◽  
Vol 19 (05n06) ◽  
pp. 1055-1063 ◽  
Author(s):  
A. SOBICZEWSKI ◽  
P. JACHIMOWICZ ◽  
M. KOWAL
Keyword(s):  
Saddle Point ◽  
Neutron Number ◽  
Shell Correction ◽  
Superheavy Nuclei ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Main Attention ◽  
Point Configuration ◽  
Heavy And Superheavy Nuclei ◽  
Large Shell

Properties of heaviest nuclei at their saddle point are studied in a multidimensional deformation space. The main attention is given to deformation and the shell correction to energy of the nuclei at this point. The analysis is performed within a macroscopic-microscopic approach. A 10-dimensional deformation space is used. A large number of about 300 even-even heavy and superheavy nuclei with proton number 98 ≤ Z ≤ 126 and neutron number 134 ≤ N ≤ 192 are considered. Detailed results are illustrated for nuclei of the element 120. A large shell correction (up to about 7 MeV) is found for these nuclei. For most of them, the correction is larger than the height of the barrier, itself, as the macroscopic contribution to this height is negative.

scholarly journals Nucleon-Nucleon Interaction at High Energies

1950 ◽  
Vol 5 (2) ◽  
pp. 318-318
Author(s):  
F. Fujimoto ◽  
S. Hayakawa ◽  
Y. Yamaguchi
Keyword(s):  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
High Energies ◽  
Nucleon Nucleon Interaction

EQUATION OF STATE OF ASYMMETRIC NUCLEAR MATTER WITH GOGNY AND COULOMB INTERACTIONS

1990 ◽  
Vol 05 (14) ◽  
pp. 1071-1080 ◽  
Author(s):  
S. W. HUANG ◽  
M. Z. FU ◽  
S. S. WU ◽  
S. D. YANG
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Coulomb Interaction ◽  
Chemical Potential ◽  
Compression Modulus ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Coulomb Interactions ◽  
Asymmetric Nuclear Matter ◽  
Nucleon Nucleon Interaction

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.

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