Calculation of charge form factor of elastic electron scattering based on Skyrme force and relativistic eikonal approximation

2019 ◽  
Vol 28 (03) ◽  
pp. 1950015
Author(s):  
Xiaoyong Guo ◽  
Zaijun Wang ◽  
Tianjing Li ◽  
Jian Liu
Keyword(s):  
Electron Scattering ◽  
Mean Field ◽  
Form Factors ◽  
Eikonal Approximation ◽  
Skyrme Force ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Charge Form ◽  
Relativistic Treatment ◽  
Rmf Model

We construct a scheme to calculate the charge form factors for the elastic electron scattering. Our calculation is based on the relativistic eikonal approximation and the Skyrme–Hartree–Fock equation. To perform our calculation and benchmark the results, eight model nuclei with available experimental data: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] are considered. For the comparison, the charge form factors calculated by the relativistic mean-field (RMF) model are also provided. Parameter set SLy5 is utilized for the Skyrme force, and the set NL3 is applied for the RMF model. It has been confirmed that combining of a nonrelativistic treatment for the target nucleus with a relativistic treatment for the incident electron may work better to reach highly descriptive and predictive results similar to the pure relativistic treatment. The results of this work are also useful for future experiments to test different inputs of densities for a specific nucleus.

scholarly journals Elastic electron scattering from 17Ne and 27P exotic nuclei

2019 ◽  
Vol 13 (28) ◽  
pp. 68-81
Author(s):  
A. R. Ridha
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Computer Code ◽  
Exotic Nuclei ◽  
Proton Density ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
The Difference ◽  
Proton Form Factors ◽  
Near Future

The ground state proton, neutron and matter densities andcorresponding root mean square radii of unstable proton-rich 17Neand 27P exotic nuclei are studied via the framework of the twofrequencyshell model. The single particle harmonic oscillator wavefunctions are used in this model with two different oscillator sizeparameters core b and halo , b the former for the core (inner) orbitswhereas the latter for the halo (outer) orbits. Shell model calculationsfor core nucleons and for outer (halo) nucleons in exotic nuclei areperformed individually via the computer code OXBASH. Halostructure of 17Ne and 27P nuclei is confirmed. It is found that thestructure of 17Ne and 27P nuclei have 25 / 2 (1d ) and 1/ 2 2s -dominantconfigurations, respectively. Elastic electron scattering form factorsof these exotic nuclei are also studied using the plane wave Bornapproximation. Effects of the long tail behavior of the proton densitydistribution on the proton form factors of 17Ne and 27P areanalyzed. It is found that the difference between the proton formfactor of 17Ne and that of stable 20Ne (or of 27P and that of stable31P) comes from the difference in the proton density distribution ofthe last two protons (or of the last proton) in the two nuclei. It isconcluded that elastic electron scattering will be an efficient tool (inthe near future) to examine proton-halo phenomena of proton-richnuclei.

scholarly journals Sensitivity of elastic electron scattering off the 3He to the nucleon form factors

2019 ◽  
Vol 204 ◽  
pp. 05009 ◽  
Author(s):  
Serge Bondarenko ◽  
Valery Burov ◽  
Sergey Yurev
Keyword(s):  
Experimental Data ◽  
Electron Scattering ◽  
Impulse Approximation ◽  
Form Factors ◽  
Magnetic Form Factor ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Relativistic Generalization ◽  
Nucleon System ◽  
Nucleon Form Factors

Elastic electron-3He scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system – 3He – are obtained by solving the relativistic generalization of the Faddeev equation. The charge and magnetic form factor are calculated and compared with the experimental data for the momentum transfer squared up to 100 fm-2. The influence of the various nucleon form factors is investigated.

scholarly journals Density Distributions and Elastic Electron Scattering Form Factors of Proton-rich 8B, 17F, 17Ne, 23Al and 27P Nuclei

2019 ◽  
pp. 1286-1296
Author(s):  
Rafah I. Noori ◽  
Arkan R. Ridha
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Binding Energies ◽  
Wave Functions ◽  
Nuclear Density ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Saxon Potential ◽  
Radial Wave ◽  
Density Distributions

In this work, the nuclear density distributions, size radii and elastic electron scattering form factors are calculated for proton-rich 8B, 17F, 17Ne, 23Al and 27P nuclei using the radial wave functions of Woods-Saxon potential. The parameters of such potential for nuclei under study are generated so as to reproduce the experimentally available size radii and binding energies of the last nucleons on the Fermi surface.

scholarly journals Nucleon momentum distributions and elastic electron scattering form factors for 58Ni, 60Ni, 62Ni, and 64Ni isotopes using the framework of coherent fluctuation model

2019 ◽  
Vol 12 (24) ◽  
pp. 33-42
Author(s):  
Hasan F. Ojaimi
Keyword(s):  
Weight Function ◽  
Electron Scattering ◽  
Form Factors ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Simple Method ◽  
Nucleon Momentum ◽  
Momentum Distributions ◽  
Fluctuation Model ◽  
Coherent Fluctuation

The nucleon momentum distributions (NMD) and elastic electron scattering form factors of the ground state for some 1f-2p-shell nuclei, such as 58Ni, 60Ni, 62Ni, and 64Niisotopes have been calculated in the framework of the coherent fluctuation model (CFM) and expressed in terms of the weight function lf(x)l2 . The weight function (fluctuation function) has been related to the nucleon density distribution (NDD) of the nuclei and determined from the theory and experiment. The NDD is derived from a simple method based on the use of the single particle wave functions of the harmonic oscillator potential and the occupation numbers of the states. The feature of the long-tail behavior at high momentum region of the NMD’s has been obtained by both the theoretical and experimental weight functions. The calculated elastic electron scattering form factors for considered isotopes are in reasonable agreement with those of experimental data throughout all values of momentum transfer q.

Elastic electron scattering form factors of deformed exotic Xe isotopes

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Tongqi Liang ◽  
Jian Liu ◽  
Zhongzhou Ren ◽  
Chang Xu ◽  
Shuo Wang
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Elastic Electron ◽  
Elastic Electron Scattering

scholarly journals Matter Density Distributions, Root-mean Square Radii and Elastic Electron Scattering Form Factors of Some Exotic Nuclei (17B, 11Li, 8He)

2021 ◽  
Vol 19 (50) ◽  
pp. 60-69
Author(s):  
Shaimaa Ali Rahi ◽  
Gaith Naima Flaiyh
Keyword(s):  
Density Distribution ◽  
Root Mean Square ◽  
Electron Scattering ◽  
Form Factors ◽  
Matter Density ◽  
Elastic Electron ◽  
Mean Square ◽  
Elastic Electron Scattering ◽  
Nucleon Density ◽  
Density Distributions

The two-neutron halo-nuclei (17B, 11Li, 8He) was investigated using a two-body nucleon density distribution (2BNDD) with two frequency shell model (TFSM). The structure of valence two-neutron of 17B  nucleus in a pure (1d5/2) state and in a pure (1p1/2) state for  11L and 8He nuclei. For our tested nucleus, an efficient (2BNDD's) operator for point nucleon system folded with two-body correlation operator's functions was used to investigate nuclear matter density distributions, root-mean square (rms) radii, and elastic electron scattering form factors. In the nucleon-nucleon forces the correlation took account of the effect for the strong tensor force (TC's). The wave functions of single particle harmonic oscillator are used with two different oscillator size parameters βc and βv, where the former is for the core (inner) orbits and the latter is for the valence (halo) orbits. The measured matter density distributions of these nuclei clearly showed long tail results. To investigate elastic electron scattering form factors the plane wave born approximation (PWBA) with two body nucleon density distribution (2BNDD's) was use.

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