Charge density distributions and charge form factors of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>82</mml:mn></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>isotonic nuclei

Wang, Zaijun; Ren, Zhongzhou; Fan, Ying

doi:10.1103/physrevc.73.014610

Cited by 26 publications

(43 citation statements)

References 70 publications

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“…Suda [33] pointed out that, in electron scattering off unstable nuclei, the maxima and the minima of the charge form factor are very sensitive to the size and the diffuseness of the charge density. This fact has been confirmed by different works that have analyzed the behavior of the charge form factor along isotopic [25,26,29,31] and isotonic [30] chains.…”

Section: Introductionsupporting

confidence: 55%

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Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

et al. 2013

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Electron scattering on unstable nuclei is planned in future facilities of the GSI and RIKEN upgrades. Motivated by this fact, we study theoretical predictions for elastic electron scattering in the N = 82, N = 50, and N = 14 isotonic chains from very proton-deficient to very proton-rich isotones. We compute the scattering observables by performing Dirac partial-wave calculations. The charge density of the nucleus is obtained with a covariant nuclear mean-field model that accounts for the low-energy electromagnetic structure of the nucleon. For the discussion of the dependence of scattering observables at low-momentum transfer on the gross properties of the charge density, we fit Helm model distributions to the self-consistent mean-field densities. We find that the changes shown by the electric charge form factor along each isotonic chain are strongly correlated with the underlying proton shell structure of the isotones. We conclude that elastic electron scattering experiments on isotones can provide valuable information about the filling order and occupation of the single-particle levels of protons.

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Section: Introductionsupporting

confidence: 55%

“…In the present work we employ the DWBA to study elastic electron scattering from isotones. It may be mentioned that the eikonal approximation has been applied in some studies of elastic electron scattering off proton-rich and neutron-rich nuclei [29,30,40].…”

Section: Introductionmentioning

confidence: 99%

Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

et al. 2013

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“…Recently, the self-consistent relativistic mean-field (RMF) model has been widely applied to both stable and unstable nuclei (e.g., Refs. [25][26][27][28]). Also the relativistic Hartree-Bogoliubov approach has been employed to study the nuclear skin thickness in neutron/proton-rich sodium isotopes [29].…”

Section: Introductionmentioning

confidence: 99%

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

et al. 2007

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A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data, as well as with other theoretical predictions. The formation of a neutron skin, which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution, is analyzed in terms of various definitions. Formation of a proton skin is shown to be unlikely. The effects of deformation on the neutron skins in even-even deformed nuclei far from the stability line are discussed.

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“…In the past few years, some theoretical studies of elastic electron scattering off exotic nuclei have been performed. Wang et al [11,12] studied such scattering along some isotopic and isotonic chains by combining the eikonal approximation with the relativistic mean field theory. And, very recently, Roca-Maza et al [13] systematically investigated elastic electron scattering off both stable and exotic nuclei with the phase-shift analysis method.…”

Section: Introductionmentioning

confidence: 99%

“…There are several theoretical methods used to study elastic electron-nucleus scattering, such as the plan-wave Born approximation (PWBA), the eikonal approximation and the phase-shift analysis method [9][10][11][12][13][14][15]. The PWBA method can give qualitative results and has been used widely for its simplicity.…”

Section: Introductionmentioning

confidence: 99%

Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

Flaiyh¹,

Al-Rahmani²

2012

JNUS

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The nucleon momentum distributions ( NMD ) for the ground state and elastic electron scattering form factors have been calculated in the framework of the coherent fluctuation model and expressed in terms of the weight function (fluctuation function). The weight function has been related to the nucleon density distributions of nuclei and determined from theory and experiment. The nucleon density distributions( 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 long-tail behavior at high momentum region of the NMD has been obtained using both the theoretical and experimental weight functions. IntroductionThe study of momentum wave functions is a powerful tool in studying the ground state properties of nuclei, particularly the momentum distribution of nucleons. The quantitative knowledge of the momentum distribution is very important for revealing the proper mechanism of the nuclear reactions and for their complete description and also it is important in studying the bulk properties of the nucleus such as: total binding and kinetic energies and many other properties of the nucleus [1]. At present, there is no method for directly measuring the NMD in nuclei. The quantities that are measured by particlenucleus and nucleus-nucleus collisions are the cross sections of different reactions, and these contain information on the NMD of target nucleons. The experimental evidence obtained from inclusive and exclusive electron scattering on nuclei established the existence of long-tail behavior of the NMD at high momentum region (

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Charge density distributions and charge form factors of theN=82andN=126isotonic nuclei

Cited by 26 publications

References 70 publications

Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

Nucleon Momentum Distributions and Elastic Electron Scattering form Factors for 22Ne, 26Mg and 30Si Nuclei

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