scholarly journals Electron Scattering from Some Fp- Shell Nuclei with Inclusion the Effect of Short-Range Correlation

2020 ◽  
pp. 2540-2550
Author(s):  
Adel K. Hamoudi ◽  
Mahmoud A. Abbas
Keyword(s):  
Charge Density ◽  
Electron Scattering ◽  
Short Range ◽  
Form Factors ◽  
Short Range Correlation ◽  
Density Distributions ◽  
Range Correlation ◽  
Elastic Form ◽  
The One

The effects of short-range correlation on elastic Coulomb (charge) form factors, charge density distributions as well as root mean square charge radii of various  nuclei (for instance, 46, 48, 50Ti, 52, 54Cr, 56, 58Fe, and 72, 74, 76Ge nuclei) are examined. The one- and two body terms of the cluster expansion together with the single-particle harmonic oscillator wave functions are utilized. For the purpose of embedding these effects into the formulae of charge density  and form factor  we employ the correlation function of Jastrow-type. These formulae depend upon the short-range correlation parameter  (which instigates from the Jastrow function) and the oscillator size parameter   Both  and  are found by the fitting to the measured elastic form factors. It is noticed that the embedding of short-range correlation effects into the calculations of  and  is a requisite for the achievement of a vital change in the computed results and remarkably vital for the characterization of the measured 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.

scholarly journals Charge density distributions and electron scattering form factors of 19F, 27Al and 25Mg nuclei

2019 ◽  
Vol 15 (33) ◽  
pp. 101-110
Author(s):  
Raghad Imad Mahmood
Keyword(s):  
Charge Density ◽  
Electron Scattering ◽  
Short Range ◽  
Tensor Force ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Nucleon System ◽  
Density Distributions ◽  
Tail Part ◽  
Short Range Repulsion

An effective two-body density operator for point nucleon system folded with two-body correlation functions, which take account of the effect of the strong short range repulsion and the strong tensor force in the nucleon-nucleon forces, is produced and used to derive an explicit form for ground state two-body charge density distributions (2BCDD's) and elastic electron scattering form factors F (q) for 19F, 27Al and 25Mg nuclei. It is found that the inclusion of the two-body short range correlations (SRC) has the feature of reducing the central part of the 2BCDD's significantly and increasing the tail part of them slightly, i.e. it tends to increase the probability of transferring the protons from the central region of the nucleus towards its surface and to increase the root mean square charge radius ˂ r 2˃ 1/2 of the nucleus and then makes the nucleus to be less rigid than the case when there is no (SRC). It is also found that the effects of two body tensor correlations (TCs) on 2BCDD's and ˂ r 2˃ 1/2 are in opposite direction to those of (SRC).

scholarly journals Charge density distributions and electron scattering form factors of 25Mg, 27Al and 29Si nuclei

2019 ◽  
Vol 14 (30) ◽  
pp. 129-135
Author(s):  
Lubna Abduljabbar Mahmood
Keyword(s):  
Charge Density ◽  
Explicit Form ◽  
Electron Scattering ◽  
Ground State ◽  
Density Operator ◽  
Form Factors ◽  
Body Density ◽  
Density Distributions ◽  
Tail Part

An effective two-body density operator for point nucleon systemfolded with the tenser force correlations( TC's), is produced and usedto derive an explicit form for ground state two-body charge densitydistributions (2BCDD's) applicable for 25Mg, 27Al and 29Si nuclei. It isfound that the inclusion of the two-body TC's has the feature ofincreasing the central part of the 2BCDD's significantly and reducingthe tail part of them slightly, i.e. it tends to increase the probability oftransferring the protons from the surface of the nucleus towards itscenteral region and consequently makes the nucleus to be more rigidthan the case when there is no TC's and also leads to decrease the1/ 2r 2 of the nucleus. It is also found that the effect of the TC's and theeffect of increasing the values of  on the 2BCDD's, elasticelectron scattering form factors and r2 1/ 2 are in the same directionfor all considered nuclei.

DEPENDENCE OF COULOMB SUM RULE ON THE SHORT RANGE CORRELATION BY USING Av18 POTENTIAL

2005 ◽  
Vol 20 (25) ◽  
pp. 1903-1914 ◽  
Author(s):  
M. MODARRES ◽  
H. MOEINI ◽  
H. R. MOSHFEGH
Keyword(s):  
Electron Scattering ◽  
Short Range ◽  
Nonrelativistic Limit ◽  
Inelastic Electron ◽  
Short Range Correlation ◽  
Sum Rule ◽  
Av18 Potential ◽  
Bjorken Scaling ◽  
Range Correlation ◽  
Theoretical Predictions

The Coulomb sum rule (CSR) and structure factor are calculated for inelastic electron scattering from nuclear matter at zero and finite temperature in the nonrelativistic limit. The effect of short-range correlation (SRC) is presented by using lowest order constrained variational (LOCV) method and the Argonne Av18 and Δ-Reid soft-core potentials. The effects of different potentials as well as temperature are investigated. It is found that the nonrelativistic version of Bjorken scaling approximately sets in at the momentum transfer of about 1.1 to 1.2 GeV/c and the increase of temperature makes it to decrease. While different potentials do not significantly change CSR, the SRC improves the Coulomb sum rule and we get reasonably close results to both experimental data and others theoretical predictions.

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