Abstract

Structure of unstable 21,23,25,26F nuclei have been investigatedusing Hartree – Fock (HF) and shell model calculations. The groundstate proton, neutron and matter density distributions, root meansquare (rms) radii and neutron skin thickness of these isotopes arestudied. Shell model calculations are performed using SDBAinteraction. In HF method the selected effective nuclear interactions,namely the Skyrme parameterizations SLy4, Skeσ, SkBsk9 andSkxs25 are used. Also, the elastic electron scattering form factors ofthese isotopes are studied. The calculated form factors in HFcalculations show many diffraction minima in contrary to shellmodel, which predicts less diffraction minima. The long tailbehaviour in nuclear density is noticeable seen in HF more than shellmodel calculations. The deviation occurs between shell model andHF results are attributed to the sensitivity of charge form factors tothe change of the tail part of the charge density. Calculations donefor the rms radii in shell model showed excellent agreement withexperimental values, while HF results showed an overestimation inthe calculated rms radii for 21,23F and good agreement for 25,26F. Ingeneral, it is found that the shell model and HF results have the samebehaviour when the mass number (A) increase.

Highlights

  • Most of our knowledge of nuclear physics is obtained from the study of stable nuclei on and near the stability line [1]

  • Results of rms radii showed excellent agreement with experimental data, while Hartree – Fock (HF) results showed an overestimation in the calculated rms radii for 21,23F and good agreement for 25,26F

  • It is found that the shell model and Hartree – Fock results all have the same behaviour when the mass number (A) increase

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Summary

Introduction

Most of our knowledge of nuclear physics is obtained from the study of stable nuclei on and near the stability line [1]. The development of radioactive isotope (RI) beam techniques [2,3,4] has opened a new field for the study of unstable nuclei far from the stability line. Elastic electron scattering off exotic nuclei will be realized. It is interesting and necessary to study electron scattering off exotic nuclei theoretically to provide the future experiments with some useful instructions in advance [6]. Several theoretical and experimental groups have devoted their work on studying the exotic nuclei [7,8,9,10,11,12]

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