Nuclear structure study of some tin isotopes using the self-consistent mean field method

Mohammed F Majid

doi:10.30723/ijp.v13i26.291

Abstract

Hartree-Fock calculations for even-even Tin isotopes usingSkyrme density dependent effective nucleon-nucleon interaction arediscussed systematically. Skyrme interaction and the general formulafor the mean energy of a spherical nucleus are described. The chargeand matter densities with their corresponding rms radii and thenuclear skin for Sn isotopes are studied and compared with theexperimental data. The potential energy curves obtained withinclusion of the pairing force between the like nucleons in Hartree-Fock-Bogoliubov approach are also discussed.

Highlights

Microscopic theories using the mean field (MF) approximation have been gaining, year after year, a high level of reliability for the description of static and dynamic properties of atomic nuclei
Reasonable theoretical predictions can be expected to explain the properties of nuclei in their ground states and in extreme conditions of spin or isospin far away from the normal stability of the nuclear matter [1]
The MF methods are very successful in describing and predicting properties of nuclei across the chart of the nuclides. This is especially true for heavy nuclei, where the bulk properties of nuclear mater dominate over the surface effects

Summary

Key words

Skyrme density dependent effective nucleon-nucleon interaction are discussed systematically. Skyrme interaction and the general formula for the mean energy of a spherical nucleus are described. The charge and matter densities with their corresponding rms radii and the Hartree-Fock, Hartree-FockBogoliubov, Pairing force. Nuclear skin for Sn isotopes are studied and compared with the experimental data. The potential energy curves obtained with inclusion of the pairing force between the like nucleons in Hartree-. ‫الخلاصة‬ ‫زوجية بالأستعانة بتفاعل سكيرم المعتمد على الكثافة بين كل‬-‫فوك لنظائر القصدير الزوجية‬-‫نوقشت حسابات ھارتري‬ ‫ وكذلك درست الكثافة النووية وكثافة‬.‫ ثم تم وصف تفاعل سكيرم والصيغة العامة لمعدل الطاقة للنوى الكروية‬،‫نيوكلونين‬ ‫ اضافة الى ذلك تمت مناقشة منحنيات‬.‫الشحنة وجذر معدل مربع نصف القطر والغلاف النووي مقارنة بنتائج القيم العملية‬. ‫بوكليوبوف‬-‫فوك‬-‫الطاقة الكامنة بأستخدام تفاعل الازدواج بين النيوكلونات المتشابھة في حسابات ھارتري‬

Introduction

The determination of the nuclear skin thickness usually involves the precise

Results and discussion except for Coulomb effects that make the