The Elastic and Inelastic Electron-Nucleus Scattering Form Factors for Be9 Nucleus

The computations of the elastic and inelastic Coulomb form factors for the electron-nucleus scattering of Beryllium nucleus Be9 have performed with Core Polarization (CP) effects including the realistic Michigan sum of Three Range Yukawa (M3Y) Interaction, and the other residual interaction which is Modified Surface Delta Interaction (MSDI). In addition to mean square root charge density and charge radii for the ground state. The perturbation theory was adopted to compute the Core Polarization by using the Harmonic Oscillators (HO) potential to calculate single-particle radial wave functions. In the comparison between the theoretical calculations of Coulomb form factors by (MSDI) interaction, realistic (M3Y) interaction, and the experimental results that measured before, it noticed that the Coulomb form factors for the (M3Y) interaction gave a reasonable depiction of the measured data.

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Calculation of inelastic electron–nucleus scattering form factors of 29Si

International Journal of Modern Physics E ◽

10.1142/s0218301314500463 ◽

2014 ◽

Vol 23 (09) ◽

pp. 1450046 ◽

Cited By ~ 1

Author(s):

A. D. Salman ◽

N. Al-Dahan ◽

F. I. Sharrad ◽

I. Hossain

Keyword(s):

Experimental Data ◽

Electron Scattering ◽

Total Angular Momentum ◽

Form Factors ◽

Second Order ◽

Inelastic Electron ◽

First Order ◽

Inelastic Electron Scattering ◽

Nucleus Scattering ◽

Energy Configurations

Inelastic electron scattering form factors for 29 Si nucleus with total angular momentum and positive parity (Jπ) and excited energy (3/2+, 1.273 MeV; 5/2+, 2.028 MeV; 3/2+, 2.425 MeV and 7/2+, 4.079 MeV) have been calculated using higher energy configurations outside the sd-shell. The calculations of inelastic form factors up to the first- and second-order with and without core-polarization (CP) effects were compared with the available experimental data. The calculations of inelastic electron scattering form factors up to the first-order with CP effects are in agreement with the experimental data, excepted for states 3/2+(1.273 MeV) and 5/2+(2.028 MeV) and without this effect are failed for all states. Furthermore, the calculations of inelastic electron scattering form factors up to the second-order with CP effects are in agreement with the experimental data for 3/2+(1.273 MeV) and 5/2+(2.028 MeV).

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Inelastic electron scattering form factors involving the second excited 2+ level in the isotopes 50,54,52Cr

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v13i28.239 ◽

2019 ◽

Vol 13 (28) ◽

pp. 19-26

Author(s):

Ghaith Naima Flaiyh

Keyword(s):

Charge Density ◽

Form Factors ◽

Transition Density ◽

Collective Modes ◽

Inelastic Electron ◽

Core Polarization ◽

Density Distributions ◽

The Core ◽

Model Transition ◽

Remarkable Agreement

An expression for the transition charge density is investigated where the deformation in nuclear collective modes is taken into consideration besides the shell model transition density. The inelastic longitudinal form factors C2 calculated using this transition charge density with excitation of the levels for Cr54,52,50 nuclei. In this work, the core polarization transition density is evaluated by adopting the shape of Tassie model together with the derived form of the ground state two-body charge density distributions (2BCDD's). It is noticed that the core polarization effects which represent the collective modes are essential in obtaining a remarkable agreement between the calculated inelastic longitudinal F(q)'s and those of experimental data.

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Microscopic Large Scale psd Shell Model with M3Y Residual Interaction to Calculate Electron Scattering Form Factors

Journal of Advanced Physics ◽

10.1166/jap.2017.1299 ◽

2017 ◽

Vol 6 (1) ◽

pp. 56-61

Author(s):

Khalid S. Jassim ◽

Rawaa A. Abdul-Nabe

Keyword(s):

Shell Model ◽

Electron Scattering ◽

Large Scale ◽

Theoretical Calculations ◽

Form Factors ◽

Scale Model ◽

Core Polarization ◽

Model Calculations ◽

Polarization Effects ◽

Realistic Interaction

The longitudinal and the transverse electron scattering form factors for 6Li, 9Be, 11B and 12C nuclei have been studied with and without core polarization effects using shell model calculations. The psdmwk is used as effective interaction for psd-shells. The core-polarization effects are calculated in the first-order perturbation theory including excitations up to 4ħω using the Michigan three-range Yakawa M3Y as a realistic interaction. The wave functions of radial single particle matrix elements have been calculated with harmonic oscillator potential. For all nuclei under studying, Comparison between experimental and theoretical calculations show that the form factors with core-polarization effect calculations give good consistency with experiment data. So we concluded that the large scale model space enhanced the results to become closed to the experimental data.

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

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v14i31.168 ◽

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.

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Inelastic Electron Scattering Form Factors for 13C with Core-Polarization Effects

Journal of Advanced Physics ◽

10.1166/jap.2013.1047 ◽

2013 ◽

Vol 2 (2) ◽

pp. 124-129

Author(s):

Nadia M. Adeeb

Keyword(s):

Electron Scattering ◽

Form Factors ◽

Inelastic Electron ◽

Core Polarization ◽

Polarization Effects ◽

Inelastic Electron Scattering

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Isovector excitation of stretched states in nuclei: effects of meson exchange currents, unbound wave functions, and knockout exchange amplitudes on the extraction of particle–hole strengths

Canadian Journal of Physics ◽

10.1139/p87-095 ◽

1987 ◽

Vol 65 (6) ◽

pp. 666-676 ◽

Cited By ~ 13

Author(s):

R. A. Lindgren ◽

M. Leuschner ◽

B. L. Clausen ◽

R. J. Peterson ◽

M. A. Plum ◽

...

Keyword(s):

Electron Scattering ◽

Transition Amplitude ◽

Form Factors ◽

Wave Functions ◽

Meson Exchange ◽

Valence Nucleon ◽

Radial Wave ◽

Model Calculations ◽

Nucleus Scattering ◽

Meson Exchange Currents

It is well known that the strength for excitations of [Formula: see text] high spin, stretched states observed via inelastic scattering, is generally much smaller than that predicted by spherical shell-model calculations. In addition, results obtained from electromagnetic and hadronic studies have discrepancies at the 20% level. For us to gain a better understanding of reduced magnetic strength in electron scattering and hopefully close the gap between experiment and theory, calculations of the electron-scattering form factors have been performed including the effects due to meson exchange currents in the transition amplitude and the effects due to unbound wave functions for the valence nucleon. The effect of the meson exchange-current contributions is to uniformly enhance the form factors near the first maximum, resulting in a 16 to 20% further reduction of the stretched particle–hole strength. The effect due to the radial wave functions deduced from Woods–Saxon potentials in which the nucleon is not bound is to reduce the form factors, thereby resulting in an increase in the spectroscopic strength. As regards the comparison of results obtained with electromagnetic and hadronic probes, the implied sensitivity to higher order current and spin–current transition densities associated with the nonlocality due to the tensor knockout exchange amplitudes in nucleon–nucleus scattering is considered explicitly. It is found that the simplest correspondence between electron and nucleon–nucleus scattering is preserved for isovector excitations but not for isoscalar excitations under the usual assumptions for the tensor interaction. It is clear that precise comparisons between experiment and theory (or between probes) cannot be made unless these and related effects are consistently included.

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