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.

ROLE OF THE NON-AXIAL OCTUPOLE DEFORMATION IN THE POTENTIAL ENERGY OF HEAVY NUCLEI

2010 ◽  
Vol 19 (04) ◽  
pp. 768-773 ◽  
Author(s):  
P. JACHIMOWICZ ◽  
M. KOWAL ◽  
P. ROZMEJ ◽  
J. SKALSKI ◽  
A. SOBICZEWSKI
Keyword(s):  
Potential Energy ◽  
Large Deformation ◽  
Neutron Number ◽  
Deformation Space ◽  
Heavy Nuclei ◽  
Microscopic Approach ◽  
Large Space ◽  
Global Energy ◽  
Octupole Deformation

Role of the non-axial octupole deformation a32(Y32 + Y3-2) on the potential energy of heavy nuclei is studied in a large deformation space. The study is performed within a macroscopic-microscopic approach. A large region of nuclei with proton number 88 ≤ Z ≤ 112 and neutron number 128 ≤ N ≤ 156 is considered. It is found that while the a32 deformation alone lowers the energy of the nuclei by up to about 3 MeV (for nuclei around 238 Fm ), it has practically no effect on the global energy minima of considered nuclei, when the analysis is done in a large space.

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.

SHELL CORRECTIONS FOR HEAVY AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250062 ◽  
Author(s):  
M. ISMAIL ◽  
A. ADEL
Keyword(s):  
Degrees Of Freedom ◽  
Energy Levels ◽  
Superheavy Nuclei ◽  
Magic Numbers ◽  
Deformation Space ◽  
Harmonic Oscillator Basis ◽  
Pairing Interaction ◽  
Heavy And Superheavy Nuclei ◽  
Shell Closures ◽  
Oscillator Basis

The shell and pairing correction energies are calculated for heavy and superheavy nuclei (SHN) by means of the Strutinsky's method. The single-particle (s.p.) energy levels are obtained from the diagonalization of the Woods–Saxon s.p. Hamiltonian in the deformed harmonic oscillator basis for both neutrons and protons. The residual pairing interaction is calculated by means of the usual Bardeen–Cooper–Schrieffer (BCS) approximation. A two-dimensional deformation space describing axially and reflection-symmetric shapes of nuclei has been used. Based on the shell and pairing correction energies, the signatures of the magic numbers appear at the spherical shell closures Z = 82, 114, 164 and N = 126, 184, 228 and 308. There are also signatures for some other shell closures at, e.g., Z = 108 and N = 162 which appear only when the deformation degrees of freedom is taken into account.

Fission barrier heights and lifetimes for heavy and superheavy nuclei

2009 ◽  
Author(s):  
J. Bartel ◽  
A. Dobrowolski ◽  
B. Nerlo-Pomorska ◽  
K. Pomorski ◽  
F. A. Ivanyuk ◽  
...  
Keyword(s):  
Fission Barrier ◽  
Superheavy Nuclei ◽  
Barrier Heights ◽  
Heavy And Superheavy Nuclei

ROLE OF HIGHER MULTIPOLARITY DEFORMATIONS IN THE FISSION-BARRIER HEIGHT OF A SPHERICAL SUPERHEAVY NUCLEUS

2005 ◽  
Vol 14 (03) ◽  
pp. 417-420 ◽  
Author(s):  
I. MUNTIAN ◽  
A. SOBICZEWSKI
Keyword(s):  
Barrier Height ◽  
Superheavy Nucleus ◽  
Spherical Nucleus ◽  
Fission Barrier ◽  
Deformation Space ◽  
Microscopic Approach

Role of the dimension of deformation space used in calculations of the (static) fission-barrier height [Formula: see text] is analyzed for a spherical nucleus. The superheavy nucleus 294116 is taken for the analysis. The study is done within a macroscopic-microscopic approach. It is found that the barrier height [Formula: see text] importantly decreases with increasing dimension of the space.

Nonaxial hexadecapole deformation effects on the fission barrier

2016 ◽  
Vol 25 (08) ◽  
pp. 1650047 ◽  
Author(s):  
A. Kardan ◽  
S. Nejati
Keyword(s):  
Heavy Nucleus ◽  
Degree Of Freedom ◽  
Fission Barrier ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Barrier Heights ◽  
Deformation Parameters

Fission barrier of the heavy nucleus [Formula: see text]Cf is analyzed in a multi-dimensional deformation space. This space includes two quadrupole ([Formula: see text]) and three hexadecapole deformation ([Formula: see text]) parameters. The analysis is performed within an unpaired macroscopic–microscopic approach. Special attention is given to the effects of the axial and non-axial hexadecapole deformation shapes. It is found that the inclusion of the nonaxial hexadecapole shapes does not change the fission barrier heights, so it should be sufficient to minimize the energy in only one degree of freedom in the hexadecapole space [Formula: see text]. The role of hexadecapole deformation parameters is also discussed on the Lublin–Strasbourg drop (LSD) macroscopic and the Strutinsky shell energies.

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