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.

scholarly journals The Nuclear Structure for Exotic Neutron-Rich of 42, 43, 45,47K Nuclei

2016 ◽  
Vol 13 (1) ◽  
pp. 146-154
Author(s):  
Baghdad Science Journal
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Dipole Moments ◽  
Exotic Nucleus ◽  
Form Factors ◽  
Model Space ◽  
Density Distributions ◽  
Plane Wave Born Approximation ◽  
Magnetic Electron ◽  
Good Agreement

In this paper the proton, neutron and matter density distributions and the corresponding root mean square (rms) radii of the ground states and the elastic magnetic electron scattering form factors and the magnetic dipole moments have been calculated for exotic nucleus of potassium isotopes K (A= 42, 43, 45, 47) based on the shell model using effective W0 interaction. The single-particle wave functions of harmonic-oscillator (HO) potential are used with the oscillator parameters b. According to this interaction, the valence nucleons are asummed to move in the d3f7 model space. The elastic magnetic electron scattering of the exotic nuclei 42K (J?T= 2- 2), 43K(J?T=3/2+ 5/2), 45K (J?T= 3/2+ 7/2) and 47K (J?T= 1/2+ 9/2) investigated through Plane Wave Born Approximation (PWBA). The inclusion of core polarization effect through the effective g-factors is adequate to obtain a good agreement between the predicted and the measured magnetic dipole moments.

scholarly journals Charge density distributions and electron scattering form factors of 25Mg, 27Al and 29Si nuclei

2019 ◽  
Vol 14 (30) ◽  
pp. 129-135
Author(s):  
Lubna Abduljabbar Mahmood
Keyword(s):  
Charge Density ◽  
Explicit Form ◽  
Electron Scattering ◽  
Ground State ◽  
Density Operator ◽  
Form Factors ◽  
Body Density ◽  
Density Distributions ◽  
Tail Part

An effective two-body density operator for point nucleon systemfolded with the tenser force correlations( TC's), is produced and usedto derive an explicit form for ground state two-body charge densitydistributions (2BCDD's) applicable for 25Mg, 27Al and 29Si nuclei. It isfound that the inclusion of the two-body TC's has the feature ofincreasing the central part of the 2BCDD's significantly and reducingthe tail part of them slightly, i.e. it tends to increase the probability oftransferring the protons from the surface of the nucleus towards itscenteral region and consequently makes the nucleus to be more rigidthan the case when there is no TC's and also leads to decrease the1/ 2r 2 of the nucleus. It is also found that the effect of the TC's and theeffect of increasing the values of  on the 2BCDD's, elasticelectron scattering form factors and r2 1/ 2 are in the same directionfor all considered nuclei.

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

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.

Shell model and Hartree–Fock calculations for some exotic nuclei

2015 ◽  
Vol 24 (12) ◽  
pp. 1550099 ◽  
Author(s):  
Ali A. Alzubadi ◽  
Nabeel F. Latooffi ◽  
R. A. Radhi
Keyword(s):  
Shell Model ◽  
Mass Density ◽  
Effective Interaction ◽  
Mean Field ◽  
Form Factors ◽  
Field Approximation ◽  
Exotic Nuclei ◽  
Mean Field Approximation ◽  
Hartree Fock ◽  
Density Distributions

Mass density distributions, the associated nuclear radii and elastic electron scattering form factors of light exotic nuclei, [Formula: see text]Li, [Formula: see text]Be, [Formula: see text]Be and 8B have been calculated using shell model (SM) and Hartree–Fock (HF) methods. We consider truncated spsdpf no core SM and WBP two-body effective interaction to give the SM wave functions. The single-particle matrix elements have been calculated with Skyrme-Hartree–Fock (SHF) potential with different parametrizations. It is shown that the calculated densities and form factors are in fine agreement with experimental data. This agreement can be interpreted as the adequacy of the HF mean-field approximation for exotic nuclei.

scholarly journals Elastic transverse electron scattering form factors of 11Li exotic nucleus

2019 ◽  
Vol 12 (23) ◽  
pp. 65-72
Author(s):  
B. S. Hameed
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Exotic Nucleus ◽  
Form Factors ◽  
Model Space ◽  
Model Calculations ◽  
Plane Wave Born Approximation ◽  
The Difference ◽  
Elastic Transverse ◽  
Transverse Electron

        The elastic transverse electron scattering form factors have been studied for the 11Li   nucleus using the Two- Frequency Shell Model (TFSM) approach. The single-particle wave functions of harmonic-oscillator (HO) potential are used with two different oscillator parameters bcore and bhalo. According to this model, the core nucleons of 9Li nucleus are assumed to move in the model space of spsdpf. The outer halo (2-neutron) in 11Li is assumed to move in the pure 1p1/2, 1d5/2, 2s1/2 orbit. The shell model calculations are carried out for core nucleons using the spsdpf-interaction.  The elastic magnetic electron scattering of the stable 7Li and exotic 11Li nuclei are also investigated through Plane Wave Born Approximation (PWBA). It is found that the difference between the total form factors of unstable isotope (11Li halo) and stable isotope 7Li is in magnitude. The measured value of the magnetic moment is also reproduced.

Microscopic Large Scale psd Shell Model with M3Y Residual Interaction to Calculate Electron Scattering Form Factors

2017 ◽  
Vol 6 (1) ◽  
pp. 56-61
Author(s):  
Khalid S. Jassim ◽  
Rawaa A. Abdul-Nabe
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Large Scale ◽  
Theoretical Calculations ◽  
Form Factors ◽  
Scale Model ◽  
Core Polarization ◽  
Model Calculations ◽  
Polarization Effects ◽  
Realistic Interaction

The longitudinal and the transverse electron scattering form factors for 6Li, 9Be, 11B and 12C nuclei have been studied with and without core polarization effects using shell model calculations. The psdmwk is used as effective interaction for psd-shells. The core-polarization effects are calculated in the first-order perturbation theory including excitations up to 4ħω using the Michigan three-range Yakawa M3Y as a realistic interaction. The wave functions of radial single particle matrix elements have been calculated with harmonic oscillator potential. For all nuclei under studying, Comparison between experimental and theoretical calculations show that the form factors with core-polarization effect calculations give good consistency with experiment data. So we concluded that the large scale model space enhanced the results to become closed to the experimental data.

Coulomb form factors of 25Mg nuclei using Bohr–Mottelson collective model with Skyrme interaction potential

2020 ◽  
Vol 29 (07) ◽  
pp. 2050048
Author(s):  
Ibtihaj Abdul Hassan Ajeel ◽  
Mohammed J. R. Aldhuhaibat ◽  
Khalid S. Jassim
Keyword(s):  
Electron Scattering ◽  
Interaction Potential ◽  
Form Factors ◽  
Collective Model ◽  
Wave Functions ◽  
Matrix Elements ◽  
Skyrme Interaction ◽  
Core Polarization ◽  
Model Calculations ◽  
Good Agreement

Coulomb [Formula: see text] and C4 form factors to the 5/2[Formula: see text], 7/2[Formula: see text], 9/2[Formula: see text], 9/2[Formula: see text] and 11/2[Formula: see text] states in [Formula: see text]Mg nuclei have been studied using shell model calculations. The universal sd-shell interaction A (USDA) is used for sd-shell orbits. Two models have been used to calculate core-polarization (CP) effects. These models are Coulomb Valance Tassie model (CVTM) and Bohr–Mottelson (BM) collective model. The wave functions of radial single particle matrix elements have been calculated with Skyrme interaction potential (SKX). Electron scattering factors results showed good agreement using the BM collective model comparing with the experimental data.

scholarly journals Novel Neutrino-Floor and Dark Matter Searches with Deformed Shell Model Calculations

2018 ◽  
Vol 2018 ◽  
pp. 1-17 ◽  
Author(s):  
D. K. Papoulias ◽  
R. Sahu ◽  
T. S. Kosmas ◽  
V. K. B. Kota ◽  
B. Nayak
Keyword(s):  
Dark Matter ◽  
Shell Model ◽  
Particle Physics ◽  
Magnetic Moments ◽  
Form Factors ◽  
Detection Rates ◽  
Model Calculations ◽  
Hartree Fock ◽  
The Impact ◽  
Direct Dark Matter

Event detection rates for WIMP-nucleus interactions are calculated for  71Ga,  73Ge,  75As, and  127I (direct dark matter detectors). The nuclear structure form factors, which are rather independent of the underlying beyond the Standard Model particle physics scenario assumed, are evaluated within the context of the deformed nuclear shell model (DSM) based on Hartree-Fock nuclear states. Along with the previously published DSM results for  73Ge, the neutrino-floor due to coherent elastic neutrino-nucleus scattering (CEνNS), an important source of background to dark matter searches, is extensively calculated. The impact of new contributions to CEνNS due to neutrino magnetic moments and Z′ mediators at direct dark matter detection experiments is also examined and discussed. The results show that the neutrino-floor constitutes a crucial source of background events for multi-ton scale detectors with sub-keV capabilities.

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