Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electrons

Liu, Jian; Zhang, Xin; Xu, Chang; Ren, Zhongzhou

doi:10.1016/j.nuclphysa.2016.01.040

Cited by 11 publications

(5 citation statements)

References 68 publications

(162 reference statements)

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“…Compared with the PWBA method, the |F C (q)| 2 calculated by the DWBA method coincides better with the experimental data [23,31]. In references [37][38][39][40][41][42][43][44][45][46], the |F C (q)| 2 are investigated systematically with the diverse nuclear structure model and the DWBA method.…”

Section: Introductionmentioning

confidence: 83%

Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering

Liu¹,

Liu²,

Wang³

et al. 2021

J. Phys. G: Nucl. Part. Phys.

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The expression for the radial moments r n c of the nuclear charge density has been discussed under the plane wave Born approximation method recently, which is significant to investigate the nuclear surface thickness and neutron distribution radius. In this paper, we extend the studies of extracting second-order moment r 2 c and fourth-order moment r 4 c from the Coulomb form factors |F C(q)|2 by the distorted wave Born approximation (DWBA) at the small momentum transfer q region. Based on the relativistic mean-field calculations, the DWBA form factors F C D W ( q ) are expanded into q 4, where the corresponding charge distributions are corrected by the contributions of neutron and spin–orbit densities. In the small q region, it is found that the experimental |F C(q)|2 can be well reproduced by considering the contributions of the r 4 c at the small q region. Through further analyzing the second-order and fourth-order expansion coefficients of the F C D W ( q ) , the relationship between the expansion coefficients and proton number Z is obtained. By the relationship, we extract the r 2 c and r 4 c from the limited experimental data of form factors at the small q region. Within the permissible range of error, the extracted r n c are consistent with the experimental data in this paper.

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Section: Introductionmentioning

confidence: 83%

Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering

Liu¹,

Liu²,

Wang³

et al. 2021

J. Phys. G: Nucl. Part. Phys.

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“…where 𝐶 is a constant of the proportionality and 𝜌 0 is the charge density distribution for the ground state two-body, which is given 20 , 𝜌 0 = ⟨𝜓|𝜌 ̂𝑒𝑓𝑓 (2) (𝑟 ⃗)|𝜓⟩ = ∑ ⟨𝑖𝑗|𝜌 ̂𝑒𝑓𝑓 (2) (𝑟 ⃗)|𝑖𝑗⟩ 𝑖<𝑗 − ⟨𝑖𝑗|𝜌 ̂𝑒𝑓𝑓 (2) (𝑟 ⃗)|𝑗𝑖⟩ . .…”

Section: Tassie and Bohr-mottelsonmentioning

confidence: 99%

“…The scattering of nuclear electrons provides the most detailed knowledge about the nuclear size and distribution of charge and offers valuable information about electromagnetic currents within nuclei. Electron scattering can be a good test for calculation because it is sensitive to spatial load dependency and current densities 2,3 . To explain nuclei using the nuclear shell model, one must understand the effective one-and two-body interactions.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Nuclear Structure of Some Ni and Zn Isotopes with Skyrme-Hartree-Fock Interaction

Abbas,

Salman,

Ebrahiem

et al. 2022

Baghdad Sci.J

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The inelastic C2 form factors and the charge density distribution (CDD) for 58,60,62 Ni and 64,66,68 Zn nuclei has been investigated by employing the Skyrme-Hartree-Fock method with (Sk35-Skzs*) parametrization. The inelastic C2 form factor is calculated by using the shape of Tassie and Bohr-Mottelson models with appropriate proton and neutron effective charges to account for the core-polarization effects contribution. The comparison of the predicted theoretical values was conducted with the available measured data for C2 and CDD form factors and showed very good agreement.

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“…For different microscopic and macroscopic models, the expressions for can be found in [58]. The single-particle multipoles and are determined by the single-particle wave function of the valence nucleon [44],…”

Section: Deformation Correction Formentioning

confidence: 99%

“…In the last few years, there have been several significant and instructive calculations of the magnetic form factors within different theoretical frameworks [36][37][38][39][40][41], including the relativistic mean-field (RMF) and non-relativistic Skyrme Hartree-Fock (SHF) for both the spherical and deformed cases [42][43][44][45][46]. Because different nuclear structure models provide different descriptions of the nuclear single-particle properties, it is necessary to perform a comparative study on the magnetic scattering processes.…”

Section: Introduction Ab Initiomentioning

confidence: 99%

Comparative studies on nuclear elastic magnetic form factors between the relativistic and non-relativistic mean-field approaches *

Li¹,

Wang²,

Guo³

et al. 2022

Chinese Phys. C

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It is known that elastic magnetic electron scattering can be used to study the magnetic properties of nuclei and determine the outermost-shell single-particle orbitals. In this study, the magnetic form factors of odd-A nuclei calculated with relativistic and non-relativistic models are systematically compared. We use the relativistic mean-field (RMF) and Skyrme Hartree-Fock (SHF) models to generate single-particle wave functions and calculate the values of selected nuclei under relativistic and non-relativistic frameworks, respectively. Geometric factors are introduced through the spherical limit method to consider the influences of deformation, which improves the agreement between the theoretical results and experimental data. It is shown that both the models have the capability to describe the magnetic form factors in the spherical and deformed cases, and the discrepancies in reflect the differences in the descriptions of the single-particle orbital between the two models.

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Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electrons

Cited by 11 publications

References 68 publications

Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering

Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering

Investigation of the Nuclear Structure of Some Ni and Zn Isotopes with Skyrme-Hartree-Fock Interaction

Comparative studies on nuclear elastic magnetic form factors between the relativistic and non-relativistic mean-field approaches *

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