Elastic and Inelastic form factors with inclusion 2-body short-range correlations effect

2021 ◽  
Author(s):  
Mahmoud Abdul Qader Abbas
Keyword(s):  
Ground State ◽  
Form Factors ◽  
Transition Density ◽  
Collective Modes ◽  
Inelastic Electron ◽  
Polarization Effects ◽  
Model Transition ◽  
State Charge ◽  
Short Range Correlations ◽  
High Range

The charge distributions and elastic electron form factors for <sup>18</sup>O, <sup>42,44</sup>Ca,<sup> 58</sup>Ni, and <sup>118</sup>Sn nuclei are considered using the cluster extension of the 1- and 2-body terms. Inelastic electron form factors to 2+ states with Core-Polarization effects studied where the nuclear collective modes beside to the shell model transition density are considered. The influence of SRC's be calculated by the parameter β which is introduced into the ground state charge distribution concluded the Jastrow function. It is found that the inclusion of 2-body correlations are necessary to describe the observed data of elastic and inelastic form factor at high range of momentum transfer q > 3 fm<sup>-1</sup>.

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

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.

scholarly journals The effect of short range correlation on the inelastic C4 form factors of 18O nucleus

2019 ◽  
Vol 13 (28) ◽  
pp. 130-141
Author(s):  
Abdullah S. Mdekil
Keyword(s):  
Charge Density ◽  
Short Range ◽  
Form Factors ◽  
Model Space ◽  
Charge Density Distribution ◽  
Short Range Correlation ◽  
Range Correlation ◽  
Free Parameters ◽  
State Charge ◽  
Short Range Correlations

The effect of short range correlations on the inelastic longitudinalCoulomb form factors for different states of J   4 , T  1withexcitation energies 3.553,7.114, 8.960 and 10.310 MeV in 18O isanalyzed. This effect (which depends on the correlation parameter )is inserted into the ground state charge density distribution throughthe Jastrow type correlation function. The single particle harmonicoscillator wave function is used with an oscillator size parameter b.The parameters  and b are considered as free parameters, adjustedfor each excited state separately so as to reproduce the experimentalroot mean square charge radius of 18O. The model space of 18O doesnot contribute to the transition charge density. As a result, theinelastic Coulomb form factors of 18O comes absolutely from thecore polarization transition charge density. According to thecollective modes of nuclei, the core polarization transition chargedensity is assumed to have the form of Tassie shape. It is found thatthe introduction of the effect of short range correlations is necessaryfor obtaining a remarkable modification in the calculated inelasticlongitudinal Coulomb form factors and considered as an essential forexplanation the data amazingly throughout the whole range ofconsidered momentum transfer.

Investigations of Substituent Effects by Nuclear Magnetic Resonance Spectroscopy and All-valence Electron Molecular Orbital Calculations. IV. 4-Substituted Phenylacetylenes

1975 ◽  
Vol 53 (3) ◽  
pp. 373-382 ◽  
Author(s):  
Daniel A. Dawson ◽  
William F. Reynolds
Keyword(s):  
Molecular Orbital ◽  
Ground State ◽  
Valence Electron ◽  
Chemical Shifts ◽  
Substituent Effects ◽  
Resonance Spectroscopy ◽  
Molecular Orbital Calculations ◽  
Polarization Effects ◽  
Charge Densities ◽  
State Charge

13C and 1H spectra have been determined for 18 4-substituted phenylacetylenes and carbon charge densities have been estimated by CNDO/2 molecular orbital calculations. Correlations of these parameters with σ1, and σR0 indicate that the important mechanisms of transmission of substituent effects are field, resonance, and π polarization effects, as previously noted for 4-substituted styrenes. Evidence is presented that demonstrates that both 1H and 13C chemical shifts for these compounds reflect ground state charge densities. CNDO/2 calculations on a variety of aromatic derivatives suggest that the σ1, dependence of 19F chemical shifts in these derivatives may primarily be due to π polarization.

Inelastic Electron Scattering from 18O

1971 ◽  
Vol 49 (22) ◽  
pp. 2743-2753 ◽  
Author(s):  
J. L. Groh ◽  
R. P. Singhal ◽  
H. S. Caplan ◽  
B. S. Dolbilkin
Keyword(s):  
Electron Scattering ◽  
Cross Sections ◽  
Ground State ◽  
Transition Probabilities ◽  
Form Factors ◽  
Wave Functions ◽  
Inelastic Electron ◽  
Inelastic Electron Scattering ◽  
Momentum Transfer Range ◽  
Scattering Cross Sections

The inelastic electron scattering cross sections for the excitation of the levels in 18O lying below 6.0 MeV have been measured in the momentum transfer range 0.5 < q < 1.0 fm−1. Excitation of the following T = 1 levels was observed: 1.98 MeV (2+), 3.63 MeV (0+), 3.92 MeV (2+), 4.45 MeV (1−), 5.09 MeV (3−), 5.25 MeV (2+), and 5.33 MeV (0+). Estimates of transition probabilities to the ground state have been made through a parameterization of the data using the generalized Helm model. Longitudinal form factors calculated from the wave functions of Benson and Irvine show excellent agreement with the experimental form factors.

scholarly journals The study of nuclear structure for some nuclei

2018 ◽  
Vol 16 (36) ◽  
pp. 59-65
Author(s):  
Zahraa A. Abdul Muhsin
Keyword(s):  
Charge Density ◽  
Form Factors ◽  
Transition Density ◽  
Model Space ◽  
Analytical Form ◽  
Collective Modes ◽  
Harmonic Oscillator Potential ◽  
Occupation Numbers ◽  
Low Mass ◽  
Remarkable Agreement

 An analytical form of the ground state charge density distributionsfor the low mass fp shell nuclei ( 40  A  56 ) is derived from asimple method based on the use of the single particle wave functionsof the harmonic oscillator potential and the occupation numbers ofthe states, which are determined from the comparison between theoryand experiment.For investigating the inelastic longitudinal electron scattering formfactors, an expression for the transition charge density is studiedwhere the deformation in nuclear collective modes is taken intoconsideration besides the shell model space transition density. Thecore polarization transition density is evaluated by adopting theshape of Tassie model together with the derived form of the groundstate charge density distribution. In this work, we devote ourinvestigation on 0 3 2 3 1 1   transition of Ti 50 , 0 1 2 1 1 1   transitionof Cr 50 and 0 2 2 2 1 1   of Cr 52 nuclei. It is found that the corepolarization effects, which represent the collective modes, areessential for reproducing a remarkable agreement between thecalculated inelastic longitudinal C2 form factors and those ofexperimental data.

GROUND STATE CHARGE OF FERMION SOLITON SYSTEM IN 1+1 AND 3+1 DIMENSIONS

1993 ◽  
Vol 08 (04) ◽  
pp. 705-721
Author(s):  
M. RAVENDRANADHAN ◽  
M. SABIR
Keyword(s):  
Ground State ◽  
Energy State ◽  
Flow Analysis ◽  
Background Field ◽  
Bound State ◽  
Fermion Mass ◽  
Spectral Flow ◽  
Bound State Spectrum ◽  
Spectral Asymmetry ◽  
State Charge

Ground state charge of some fermion soliton system without C-invariance is calculated in 1+1 and 3+1 dimensions by a combination of adiabatic method and spectral flow analysis. Induced charge is calculated by evolving adiabatically the fields from a vacuum having a background field which has a zero energy state and spectral symmetry. The spectral flow is calculated by an analysis of the bound state spectrum. In 1+1 dimension our calculations are in agreement with the results already found in the literature. In 3+1 dimension we study the interaction of fermions with monopoles and dyons. In the case of monopoles, even though there is spectral asymmetry, ground state charge is found to be ±1/2. It is shown that ground state charge gets contribution only from the lowest angular momentum states and is discontinuous at the fermion mass.

Neutron Form Factors from a Study of Inelastic Electron Spectra in the Electrodisintegration of Deuterium

1966 ◽  
Vol 146 (4) ◽  
pp. 973-979 ◽  
Author(s):  
E. B. Hughes ◽  
T. A. Griffy ◽  
R. Hofstadter ◽  
M. R. Yearian
Keyword(s):  
Form Factors ◽  
Inelastic Electron ◽  
Electron Spectra
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