scholarly journals Nuclear Structure Investigation of Some Ni-Isotopes Using Skyrme-Hartree-Fock Method

2019 ◽  
Vol 17 (42) ◽  
pp. 1-12
Author(s):  
Ali Ahmed Abdulhasan
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Form Factors ◽  
Binding Energies ◽  
Ground State Structure ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Effective Interactions ◽  
Hartree Fock ◽  
Nuclear Ground State

     The nuclear ground-state structure of some Nickel (58-66Ni) isotopes has been investigated within the framework of the mean field approach using the self-consist Hartree-Fock calculations (HF) including the effective interactions of Skyrme. The Skyrme parameterizations SKM, SKM*, SI, SIII, SKO, SKE, SLY4, SKxs15, SKxs20 and SKxs25 have been utilized with HF method to study the nuclear ground state charge, mass, neutron and proton densities with the corresponding root mean square radii, charge form factors, binding energies and neutron skin thickness. The deduced results led to specifying one set or more of Skyrme parameterizations that used to achieve the best agreement with the available experimental data.

scholarly journals Microscopic study of nuclear structure for some Si-isotopes using Skyrme-Hartree-Fock-method

2019 ◽  
Vol 13 (27) ◽  
pp. 1-13
Author(s):  
Sheimaa T. Aluboodi
Keyword(s):  
Experimental Data ◽  
Nuclear Structure ◽  
Microscopic Study ◽  
Ground State ◽  
Form Factors ◽  
Binding Energies ◽  
Neutron Skin ◽  
Charge Form ◽  
Hartree Fock ◽  
Si Isotopes

In this paper the nuclear structure of some of Si-isotopes namely, 28,32,36,40Si have been studied by calculating the static ground state properties of these isotopes such as charge, proton, neutron and mass densities together with their associated rms radii, neutron skin thicknesses, binding energies, and charge form factors. In performing these investigations, the Skyrme-Hartree-Fock method has been used with different parameterizations; SkM*, S1, S3, SkM, and SkX. The effects of these different parameterizations on the above mentioned properties of the selected isotopes have also been studied so as to specify which of these parameterizations achieves the best agreement between calculated and experimental data. It can be deduced from this study that it is SkX parameterization that achieves such agreement. Furthermore, comparison between the theoretical and experimental results of charge form factors has been performed.

scholarly journals Investigation of the nuclear structure of 84-108Mo isotopes using Skyrme-Hartree-Fock method

2019 ◽  
Vol 13 (26) ◽  
pp. 1-11
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Density Functional ◽  
Good Description ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Energy Density Functional ◽  
Charge Densities ◽  
Hartree Fock

Over the last few decades the mean field approach using selfconsistentHaretree-Fock (HF) calculations with Skyrme effectiveinteractions have been found very satisfactory in reproducingnuclear properties for both stable and unstable nuclei. They arebased on effective energy-density functional, often formulated interms of effective density-dependent nucleon–nucleon interactions.In the present research, the SkM, SkM*, SI, SIII, SIV, T3, SLy4,Skxs15, Skxs20 and Skxs25 Skyrme parameterizations have beenused within HF method to investigate some static and dynamicnuclear ground state proprieties of 84-108Mo isotopes. In particular,the binding energy, proton, neutron, mass and charge densities andcorresponding root mean square radius, neutron skin thickness andcharge form factor are calculated by using this method with theSkyrme parameterizations mentioned above. The calculated resultsare compared with the available experimental data. Calculationsshow that the Skyrme–Hartree–Fock (SHF) theory with aboveforce parameters provides a good description on Mo isotopes.

scholarly journals Study of the Static and Dynamic Nuclear Properties and Form Factors for Some Magnesium Isotopes 29-34 Mg

2021 ◽  
Vol 19 (49) ◽  
pp. 82-93
Author(s):  
Lubna Abduljabbar Mahmood ◽  
Gaith Naima Flaiyh
Keyword(s):  
Shell Model ◽  
Mean Field ◽  
Form Factors ◽  
Field Method ◽  
Inelastic Electron ◽  
Neutron Skin ◽  
Nuclear Excitation ◽  
Charge Densities ◽  
Hartree Fock ◽  
Transverse Form Factor

Nuclear structure of 29-34Mg isotopes toward neutron dripline have been investigated using shell model with Skyrme-Hartree–Fock calculations. In particular nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors are calculated for positive low-lying states. The deduced results are discussed for the transverse form factor and compared with the available experimental data. It has been confirmed that the combining shell model with Hartree-Fock mean field method with Skyrme interaction can accommodate very well the nuclear excitation properties and can reach a highly descriptive and predictive power when investigating different nuclear configurations of stable and unstable nuclei.

NEUTRON SKIN THICKNESS IN NEUTRON-RICH NUCLEI: BULK AND SURFACE CONTRIBUTIONS AND SHELL EFFECTS

2012 ◽  
Vol 21 (05) ◽  
pp. 1250029 ◽  
Author(s):  
X. VIÑAS ◽  
M. WARDA ◽  
M. CENTELLES ◽  
X. ROCA-MAZA
Keyword(s):  
Mean Field ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Isotopic Chain ◽  
Effective Interactions ◽  
Shell Effects ◽  
Mean Field Models ◽  
Neutron Skin Thickness ◽  
Field Approaches ◽  
Two Parameter

We analyze theoretically the neutron skin thickness in nuclei and its correlation with the symmetry energy by using semiclassical and mean field approaches together with nuclear effective interactions. Semiclassical approaches reveal that the neutron skin thickness in nuclei is formed by a combination of bulk and surface contributions. To investigate the neutron skin thickness predicted by mean field models, we fit the corresponding densities by two-parameter Fermi distributions. Using these parametrized densities, we study the neutron skin thickness as well as its bulk and surface contributions in 208 Pb and in Zr isotopes, where the influence of shell effects along the isotopic chain is discussed.

scholarly journals Investigation of density and form factor of some F isotopes using Hartree-Fock and shell model calculations

2019 ◽  
Vol 14 (30) ◽  
pp. 158-171
Author(s):  
Wasan Z. Majeed
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Form Factors ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Model Calculations ◽  
Hartree Fock ◽  
Density Distributions ◽  
Tail Part ◽  
Good Agreement

Structure of unstable 21,23,25,26F nuclei have been investigatedusing Hartree – Fock (HF) and shell model calculations. The groundstate proton, neutron and matter density distributions, root meansquare (rms) radii and neutron skin thickness of these isotopes arestudied. Shell model calculations are performed using SDBAinteraction. In HF method the selected effective nuclear interactions,namely the Skyrme parameterizations SLy4, Skeσ, SkBsk9 andSkxs25 are used. Also, the elastic electron scattering form factors ofthese isotopes are studied. The calculated form factors in HFcalculations show many diffraction minima in contrary to shellmodel, which predicts less diffraction minima. The long tailbehaviour in nuclear density is noticeable seen in HF more than shellmodel calculations. The deviation occurs between shell model andHF results are attributed to the sensitivity of charge form factors tothe change of the tail part of the charge density. Calculations donefor the rms radii in shell model showed excellent agreement withexperimental values, while HF results showed an overestimation inthe calculated rms radii for 21,23F and good agreement for 25,26F. Ingeneral, it is found that the shell model and HF results have the samebehaviour when the mass number (A) increase.

Search for exotic features in the ground state light nuclei with 10 ≤Z ≤ 18 from stable valley to drip lines

2019 ◽  
Vol 28 (11) ◽  
pp. 1950101
Author(s):  
G. Saxena ◽  
M. Kumawat ◽  
Mamta Aggarwal
Keyword(s):  
Mean Field ◽  
Form Factors ◽  
Binding Energies ◽  
Light Nuclei ◽  
Neutron Skin ◽  
Weakly Bound ◽  
Relativistic Mean Field ◽  
State Dependent ◽  
Prolate Shape ◽  
Neutron Rich Isotopes

We present a systematic description of the exotic features in the ground states of light nuclei from the stable valley to the drip lines. A study with the even and odd isotopes of Ne, Mg, Si, S and Ar has been performed using theoretical formalisms (i) Relativistic mean-field plus state-dependent BCS approach and (ii) Macroscopic–Microscopic (MM) approach using the triaxially deformed Nilsson–Strutinsky Method. The computed binding energies and one- and two-neutron separation energies using both the theories show magic character of [Formula: see text] and 40. The neutron and proton radii and the neutron densities show a well-developed neutron skin in the neutron-rich isotopes. The exotic phenomena such as weakly bound structures and the central density depletion characterized as bubble effect are explored. Our calculations for the single particle levels, density profiles and the charge form factors indicate bubble-like structures. Few new candidates of bubble nuclei are identified. Most of the nuclei in this region are found deformed with mostly prolate shape and few triaxial shapes while many nuclei exhibit the phenomenon of shape coexistence. Our results display a reasonable agreement between both the theories and the available experimental data.

NEW CALCULATION FOR SOME GROUND STATE FEATURES OF 40Ca, 48Ca32S AND 39K NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 291-298 ◽  
Author(s):  
H. AYTEKIN ◽  
R. BALDIK ◽  
E. TEL ◽  
A. AYDIN
Keyword(s):  
Ground State ◽  
Nuclear Charge ◽  
Mean Field ◽  
Binding Energies ◽  
Charge Radii ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Total Binding ◽  
Experimental Values

Some ground states features of 32 S , 39 K , 40 Ca and 48 Ca nuclei are investigated using the Hartree–Fock method with the Skyrme SKM * and SLy4 forces calculated in two different code implementations. The calculated total binding energies per particle and root mean square (rms) nuclear charge radii using the Skyrme–Hartree–Fock (SHF) + BCS method are compared with relativistic mean-field (RMF) theory and experimental values. The obtained charge density distributions from these code implementations are compared with the experimental data. Pairing effects are also included in calculations for the same nuclei. Variations of the total binding energies per particle and rms nuclear charge radii were investigated as the last shell nucleons were carried to the upper shell.

scholarly journals Nuclear structure study of 20Ne, 24Mg, 28Si and 32S nuclei using Skyrme-Hartree-Fock method

2019 ◽  
Vol 15 (32) ◽  
pp. 21-30
Author(s):  
Ahmed N. Abdullah
Keyword(s):  
Binding Energy ◽  
Nuclear Structure ◽  
Ground State ◽  
Structure Study ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Elastic Electron ◽  
Hartree Fock ◽  
Neutron Skin Thickness ◽  
Nuclear Structure Study

The Skyrme–Hartree–Fock (SHF) method with the Skyrmeparameters; SKxtb, SGII, SKO, SKxs15, SKxs20 and SKxs25 havebeen used to investigate the ground state properties of some 2s-1dshell nuclei with Z=N (namely; 20Ne, 24Mg, 28Si and 32S) such as, thecharge, proton and matter densities, the corresponding root meansquare (rms) radii, neutron skin thickness, elastic electron scatteringform factors and the binding energy per nucleon. The calculatedresults have been discussed and compared with the availableexperimental data.

scholarly journals A systematic study of the ground state properties of W, Os and Pt isotopes using HFB theory

2019 ◽  
Vol 28 (10) ◽  
pp. 1950093
Author(s):  
Nithu Ashok ◽  
Antony Joseph
Keyword(s):  
Harmonic Oscillator ◽  
Systematic Study ◽  
Ground State ◽  
Energy Charge ◽  
Skin Thickness ◽  
Neutron Skin ◽  
Hartree Fock ◽  
Bogoliubov Theory ◽  
Ground State Properties ◽  
Experimental Values

A systematic study of the ground state properties of transitional nuclei W, Os and Pt is conducted with the help of Skyrme–Hartree–Fock–Bogoliubov theory. Different Skyrme interactions are employed in the study. Two different bases, harmonic oscillator and transformed harmonic oscillator, are used in our investigation. 2[Formula: see text]-separation energy, charge radii, neutron and proton rms radii, neutron skin thickness and deformation parameter have been estimated. The results obtained are in good agreement with the available experimental values.

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