scholarly journals Inelastic longitudinal electron scattering C42 form factors in42Ti nucleus

2019 ◽  
Vol 14 (30) ◽  
pp. 1-8
Author(s):  
Firas Y. Khudayer
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Microscopic Theory ◽  
Model Space ◽  
Effective Interactions ◽  
Protons And Neutrons ◽  
Inert Core ◽  
Particle Wave Function ◽  
Space Vectors ◽  
Generate Model

Inelastic longitudinal electron scattering form factors for secondexcited state C42 in 42Ti nucleus have been calculated using shellmodel theory. Fp shell model space with configuration (1f7/2 2p3/21f5/2 2p1/2) has been adopted in order to distribute the valenceparticles (protons and neutrons) outside an inert core 40Ca. Modernmodel space effective interactions like FPD6 and GXPF1 have beenused to generate model space vectors and harmonic oscillator wavefunction as a single particle wave function. Discarder space (coreorbits + higher orbits) has been included in (core polarization effect)as a first order correction in microscopic theory to measure theinterested multipole form factors via the model space.Gogny and Michigan sum of three-range Yukawapotential (M3Y-p2) have been utilized as a residual interaction tocouple the (particle-hole) pair across the model space active particlesand the excitation energy of the pair is (2ħω) and four options for theused effective and residual interactions were determined for thetransitions from (+0) to (+01,2,3), (+21,2,3) and (+41,2,3).

scholarly journals Inelastic transverse magnetic dipole electron scattering form factors in 48Ca (restricted optimum configurations)

2019 ◽  
Vol 14 (30) ◽  
pp. 9-17
Author(s):  
Firas Z. Majeed
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
State Energy ◽  
Form Factors ◽  
Model Space ◽  
Transverse Magnetic ◽  
Excited State Energy ◽  
Inert Core ◽  
Nuclear Shell ◽  
Theoretical Results

Inelastic transverse magnetic dipole electron scattering formfactors in 48Ca have been investigated through nuclear shell modelin an excited state energy Ex= 10.23 MeV which is so called"mystery case" with different optional choices like effectiveinteraction, restricted occupation and core polarization interaction.40Ca as an inert core will be adopted and four orbits with eightparticles distributed mainly in 2p1f model space and in some extendrestricted to make sure about the major accuse about this type oftransition. Theoretical results have been constituted mainly withexperimental data and compared with some important theoreticalresults of the same transition.

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 The Electro-Excitation Form Factors for Low-Lying States of 7Li Nucleus

2010 ◽  
Vol 7 (1) ◽  
pp. 105-112
Author(s):  
Baghdad Science Journal
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Form Factors ◽  
Model Space ◽  
Theoretical Models ◽  
Inelastic Electron ◽  
Oscillator Shell ◽  
21.60 Cs ◽  
Configuration Mixing ◽  
Transverse Electron

The transverse electron scattering form factors have been studied for low –lying excited states of 7Li nucleus. These states are specified by J? T= (0.478MeV), (4.63MeV) and (6.68MeV). The transitions to these states are taking place by both isoscalar and isovector components. These form factors have been analyzed in the framework of the multi-nucleon configuration mixing of harmonic oscillator shell model with size parameter brms=1.74fm. The universal two-body of Cohen-Kurath is used to generate the 1p-shell wave functions. The core polarization effects are included in the calculations through effective g-factors and resolved many discrepancies with experiments. A higher configuration effect outside the 1p-shell model space, such as the 2p-shell, enhances the form factors for q-values and reproduces the data. The present results are compared with other theoretical models. PACS: 25.30.Bf Elastic electron scattering - 25.30.Dh Inelastic electron scattering to specific states – 21.60.Cs Shell model – 27.20. +n 5? A ?19

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 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.

scholarly journals Inelastic Form Factor Calculations for 46,48,50Ti Isotopes Using Tassie Model

2021 ◽  
Vol 2021 ◽  
pp. 1-4
Author(s):  
Mohanad H. Oleiwi
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Momentum Transfer ◽  
Good Description ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Single Particle Wave Function ◽  
Particle Wave Function ◽  
Theoretical Results

Inelastic form factors of electrical transition have been calculated for 46,48,50Ti isotopes using the Tassie model. The form factors have been calculated for different exciting energies. The harmonic oscillator (HO) wave function has been used as a single-particle wave function. The model space has been considered as 1f7/2, 2p3/2, 2p1/2, and 2f5/2. Gx1 has been used as effective interaction in all calculations. In all calculations, the effective charge has been considered as 1.5e for proton and 0.5e for neutron. All obtained results have been compared with data from an experiment. The calculations show the Tassie model gives a good description of longitudinal form factors of 46,48,50Ti isotopes in E(2+) transitions as compared with experimental data, especially in the region below 2 fm−1 of momentum transfer, but in the E(4+), the theoretical results deviated slightly from experimental data especially in the region greater than 1.5 fm−1 of momentum transfer.

scholarly journals Core-polarization effect in longitudinal electron scattering form factors of 65Cu nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 13-27
Author(s):  
Adie D. Salman
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Electron Scattering ◽  
Transition Probabilities ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Core Polarization ◽  
Reduced Transition Probabilities

Inelastic longitudinal electron scattering form factors to 2+ and 4+ states in 65Cu nucleus has been calculated in the (2p3/2 1f 5/2 2p1/2) shell model space with the F5PVH effective interaction. The harmonic oscillator potential has been applied to calculate the wave functions of radial single-particle matrix elements. Two shell model codes, CP and NUSHELL are used to obtain results. The form factor of inelastic electron scattering to 1/21−, 1/22−, 3/22−, 3/23−, 5/21−, 5/22− and 7/2- states and finding the transition probabilities B (C2) (in units of e2 fm4) for these transitions and B (C4) (in units of e2 fm8) for the transition 7/2-, and comparing them with experimental data. Both the form factors and reduced transition probabilities with core-polarization effects gave a reasonable description of the experimental data.

scholarly journals Quadrupole moment of 14B exotic nucleus

2019 ◽  
Vol 12 (23) ◽  
pp. 44-50
Author(s):  
N. S. Manie
Keyword(s):  
Shell Model ◽  
Quadrupole Moment ◽  
Exotic Nucleus ◽  
Microscopic Theory ◽  
Model Space ◽  
Harmonic Oscillator Potential ◽  
The Core ◽  
Protons And Neutrons ◽  
Configuration Mixing ◽  
Good Agreement

    The quadrupole moment of 14B exotic nucleus has been calculated using configuration mixing shell model with limiting number of orbital's in the model space. The core- polarization effects, are included through a microscopic theory which considers a particle-hole excitations from the core and the model space orbits into the higher orbits with 6ħω excitations using M3Y interaction. The simple harmonic oscillator potential is used to generate the single particle wave functions. Large basis no-core shell model with (0+2)ћω truncation is used for 14B nucleus. The effective charges for the protons and neutrons were calculated successfully and the theoretical quadrupole moment was compared with the experimental data, which was found to be in a good agreement.

scholarly journals Density distributions and form factors of the exotic 8B nucleus

2019 ◽  
Vol 11 (20) ◽  
pp. 25-34
Author(s):  
W. Z. Majeed
Keyword(s):  
Electron Scattering ◽  
Exotic Nucleus ◽  
Form Factors ◽  
Model Space ◽  
Matter Density ◽  
Long Tail ◽  
Density Distributions ◽  
Valence Proton ◽  
Model Approach ◽  
Proton Halo

Results of charge, neutron and matter densities and related form factors for one- proton halo nucleus 8B are presented using a two- frequency shell model approach. We choose a model space for the core of 7Be different from that of the extra one valence proton. One configuration is assumed for the outer proton to be in 1p1/2 - shell. The results of the matter density distributions are compared with those fitted to the experimental data. The calculated proton and matter density distributions of this exotic nucleus exhibit a long tail behavior, which is considered as a distinctive feature of halo nuclei. Elastic electron scattering form factors of this exotic nucleus are also studied. The effects of the proton halo on the electron scattering form factors are analyzed. The form factors of the exotic unstable 8B nucleus are compared with those of the stable 10B nucleus. The differences between the results of unstable 8B and stable 10B nuclei come from the long tail in the density distribution of the last proton.

scholarly journals The Spectrum of 12C in a Multi-configuration Hartree-Fock Basis

1981 ◽  
Vol 34 (5) ◽  
pp. 493 ◽  
Author(s):  
K Amos ◽  
I Morrison ◽  
R Smith ◽  
KW Schmid
Keyword(s):  
Energy Level ◽  
Shell Model ◽  
Electron Scattering ◽  
Form Factors ◽  
Model Space ◽  
Hartree Fock ◽  
Electromagnetic Decays ◽  
Level Spectrum ◽  
Large Shell ◽  
Experimental Values

The energy level spectrum of 12C is calculated in a truncated but large shell model space of projected one particle-one hole Hartree-Fock determinants using a realistic g matrix. Predictions of electromagnetic decays and electron scattering form factors are compared with experimental values.

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