Abstract

In this paper the nuclear structure of some of Si-isotopes namely, 28,32,36,40Si have been studied by calculating the static ground state properties of these isotopes such as charge, proton, neutron and mass densities together with their associated rms radii, neutron skin thicknesses, binding energies, and charge form factors. In performing these investigations, the Skyrme-Hartree-Fock method has been used with different parameterizations; SkM*, S1, S3, SkM, and SkX. The effects of these different parameterizations on the above mentioned properties of the selected isotopes have also been studied so as to specify which of these parameterizations achieves the best agreement between calculated and experimental data. It can be deduced from this study that it is SkX parameterization that achieves such agreement. Furthermore, comparison between the theoretical and experimental results of charge form factors has been performed.

Highlights

  • In studying the nuclear structure, the development of the proposed nuclear models is determined by the experimental observations of the nuclei behavior

  • By the work of Vautherin and Brink, the Skyrme interaction was introduced in the Hartree-Fock (HF) calculations of nuclei [2]

  • The SkX parameterization is used to calculate the nuclear densities for all other Si-isotopes

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Summary

Key words

In this paper the nuclear structure of some of Si-isotopes namely, Skyrme interaction, 28,32,36,40Si have been studied by calculating the static ground state Skyrme-Hartree-fock properties of these isotopes such as charge, proton, neutron and mass method, Si-isotopes. Densities together with their associated rms radii, neutron skin thicknesses, binding energies, and charge form factors In performing these investigations, the Skyrme-Hartree-Fock method has been used with different parameterizations; SkM*, S1, S3, SkM, and SkX. ‫الخلاصة‬ ‫ من خلال حساب خواص الحالة الارضية لها‬28,32,36,40Si ‫يتناول هذا البحث دراسة التركيب النووي لبعض نظائر السيليكون‬ ‫ النيوترون والكتلة مع انصاف الاقطار المرافقة لها و كذلك حساب السمك النيوتروني وطاقات‬,‫ البروتون‬,‫مثل كثافة كل من الشحنة‬ SkM* ‫ تم استخدام طريقة سكيرم هارتري فوك في تنفيذ هذه الدراسة مع باراميترات مختلفة وهي‬.‫الربط وعوامل تشكل الشحنة‬ ‫ لقد تمت دراسة تاثير هذه الباراميترات المختلفة على خواص النظائر المذكورة اعلاه وذلك لتحديد اي‬.SkX‫ و‬SkM‫ و‬S3‫ و‬S1 ‫و‬ ‫ يتفوق على بقية‬SkX ‫ ويستنتج من هذه الدراسة ان‬.‫من هذه الباراميترات يحقق افضل تطابق مع الحسابات العملية لتلك الخواص‬. ‫ كما تمت المقارنة بين النتائج النظرية والتجريبية لعوامل تشكل الشحنة‬.‫الباراميترات في تحقيق هذا التطابق‬

Introduction
Results and discussions
SkM SkX
Conclusions

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