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

Raghad Imad Mahmood

doi:10.30723/ijp.v15i33.146

Abstract

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).

Highlights

The charge density distributions (CDD) is the most important quantities in the nuclear structure which was well studied experimentally over a wide range of nuclei
The aim of the present work is to study the effects of short range correlations and tensor correlations on the ground state two body charge density distributions, root mean square charge radii and elastic electron scattering form factors for 19F, 25Mg and 27Al nuclei
This study shows that the two-body tensor correlations exhibit a mass dependence due to the Strength parameter α A) while the two-body short range correlations do not exhibit this dependency

Summary

Introduction

The charge density distributions (CDD) is the most important quantities in the nuclear structure which was well studied experimentally over a wide range of nuclei. This interest in CDD is related to the basic bulk nuclear characteristics such as the shape and size of nuclei, their binding energies, and other quantities which are connected with the CDD. The inclusion of short– range and tensor correlation effects is rather a complicated problem especially for the microscopic theory of nuclear structure. A similar correlation operator was proposed earlier by Da Proveidencia and Shakin [5] as well as Malecki and Picchi [6] for describing the short – range correlation effects

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Results

Conclusion