Phase-Shift Calculation of High-Energy Electron Scattering

Yennie, D. R.; Ravenhall, D. G.; Wilson, Richard

doi:10.1103/physrev.95.500

Cited by 397 publications

(211 citation statements)

References 19 publications

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“…This confines our treatment to nuclei with spin 0 in the ground state. (To treat other nuclei similar modifications to those used to incorporate the liquid drop model in the collective model (Bohr 1952;Bohr and Mottelson 1953) From the analysis (Yennie, Ravenhall, and Wilson 1954;Brown and Elton 1955) of high energy electron scattering experiments (Hofstadter, Fechter, and McIntyre 1953;Hofstadter et al 1954) S is given approximately by S=(3f5)lX1'20At X 10-13 cm.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation

Tassie¹

1956

Aust. J. Phys.

293

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1. INTRODUCTION The liquid drop model (Fierz 1943;Bohr 1952;Jekeli 1952) of the nucleus involves the assumption that the nucleus has a well-defined surface and a uniform charge and mass density. Experiments on the elastic scattering of high energy electrons (Hofstadter, Fechter, and McIntyre 1953;Hofstadter et al. 1954) have demonstrated that these assumptions are not valid even for heavy nuclei. An attempt is made to obtain a modified hydro dynamical model which allows for non-uniform nuclear charge and mass density distributions. In the liquid drop model distortions of the surface of the nucleus are considered; in this model similar distortions are considered not of the surface but of the shape of the nucleus, the distortions having effect throughout the whole nucleus. Excited states of the nucleus are then due to oscillations of the shape of the nucleus, i.e. oscillations involving: departures from spherical symmetry of the mass and charge distributions of the nucleus.Longitudinal compressional waves may be expected in the nucleus, involving nodes in the radial density distributions. As in the liquid drop model (Bohr 1952), the energy of excitation of these modes of radial oscillation should be' much greater than the energy of excitation of the shape oscillations. Thus, in treating low-lying nuclear energy levels, it is assumed that the radial dependence of the density distributions does not alter appreciably. This shape oscillation model is then used to consider y-transitions and electron excitation of nuclei. For a uniform charge distribution this model reduces to the usual liquid drop model.

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Section: Formulation Of the Modelmentioning

confidence: 99%

A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation

Tassie¹

1956

Aust. J. Phys.

293

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“…Various approximate treatments have been proposed in the past for the treatment of CC [10,12,13,14,15,16,17,18,19], and there is an extensive literature on the eikonal approximation [20,21,22,23,24]. In particular it has been shown that at lowest order, an expansion of the electron wave function in αZ leads to the well known effective momentum approximation (EMA) [9], which is explained in Sect.…”

Section: Introductionmentioning

confidence: 99%

Coulomb corrections for quasielastic scattering: eikonal approximation

Aste¹,

Hencken²,

Jourdan³

et al. 2004

Nuclear Physics A

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We address the problem of including Coulomb distortion effects in inclusive quasielastic (e, e ′ ) reactions using the eikonal approximation. Our results indicate that Coulomb corrections may become large for heavy nuclei for certain kinematical regions. The issues of our model are presented in detail and the results are compared to calculations of the Ohio group, where Dirac wave functions were used both for electrons and nucleons. Our results are in good agreement with those obtained by exact calculations.

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“…Secondly, in contrast to the work of Ref. [40], we calculate the charge form factors not only within the PWBA but also in DWBA by the numerical solution of the Dirac equation [49][50][51] for electron scattering in the Coulomb potential of the charge distribution of a given nucleus. Also, now we do not neglect neutrons, as was done in Ref.…”

Section: Introductionmentioning

confidence: 99%

Charge and matter distributions and form factors of light, medium, and heavy neutron-rich nuclei

et al. 2005

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Results of charge form factors calculations for several unstable neutron-rich isotopes of light, medium, and heavy nuclei (He, Li, Ni, Kr, Sn) are presented and compared to those of stable isotopes in the same isotopic chain. For the lighter isotopes (He and Li) the proton and neutron densities are obtained within a microscopic large-scale shell-model, while for heavier ones Ni, Kr, and Sn the densities are calculated in deformed self-consistent mean-field Skyrme HF+BCS method. We also compare proton densities to matter densities together with their rms radii and diffuseness parameter values. Whenever possible comparison of form factors, densities and rms radii with available experimental data is also performed. Calculations of form factors are carried out both in plane wave Born approximation (PWBA) and in distorted wave Born approximation (DWBA). These form factors are suggested as predictions for the future experiments on the electron-radioactive beam colliders where the effect of the neutron halo or skin on the proton distributions in exotic nuclei is planned to be studied and thereby the various theoretical models of exotic nuclei will be tested.

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Phase-Shift Calculation of High-Energy Electron Scattering

Cited by 397 publications

References 19 publications

A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation

A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation

Coulomb corrections for quasielastic scattering: eikonal approximation

Charge and matter distributions and form factors of light, medium, and heavy neutron-rich nuclei

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