Abstract
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.
Highlights
Electron scattering is an excellent tool for studying the nuclear structure because of many reasons
Found that the inclusion of the two-body TC's has the feature of increasing the central part of the 2BCDD's significantly and reducing the tail part of them slightly, i.e. it tends to increase the probability of transferring the protons from the surface of the nucleus towards its centeral region and makes the nucleus to be more rigid Article info
The effect of the tensor correlation on the alpha-alpha interaction in 8Be using an alpha cluster model. They had used the wave function of the alpha particle calculated by the projected Hartree-Fock method, which could treat the effect of the tensor correlation Sugimoto et al [3]
Summary
Electron scattering is an excellent tool for studying the nuclear structure because of many reasons. Radhi et al [4] studied the elastic longitudinal electron scattering form factors for 9Be in the frame work of 1pshell model, which considered as the core of 4He with five nucleons distributed out of the core. Hamoudi et al [5] studied the Nucleon Momentum Distributions (NMD) and elastic electron scattering form factors of the ground state for 1pshell nuclei with Z=N (such as 6Li, 10B, 12C and 14N nuclei) in the frame work of the Coherent Density Fluctuation Model (CDFM) and expressed in terms of the weight function f |x|2. Hamoudi et al [6] studied the nucleon momentum distributions (NMD) for the ground state and elastic electron scattering form factors in the framework of the coherent fluctuation model and expressed in terms of the weight function (fluctuation function). The aim of the present work is to derive an expression for the ground state 2BCDD, based on the use of the two - body wave functions of the harmonic oscillator in order to employ it for studying of the effects of the TC's and oscillator parameter on the root mean square charge radii r2 12 , Theory The one body density operator of
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