Search In this Thesis
   Search In this Thesis  
العنوان
Studying Nuclear Reactions of Nucleon and Nucleus with Different Halo Nuclei /
المؤلف
Ibrahim, Hisham Hosny Hussein.
هيئة الاعداد
باحث / هشام حسنى حسين ابراهيم
مشرف / محمد احمد محمد حسن
مشرف / محمد سيد محمد نور الدين
مشرف / ايهاب حنفى اسماعيل
مشرف / على يحيى الليثى
تاريخ النشر
2016.
عدد الصفحات
208 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
1/1/2016
مكان الإجازة
جامعة عين شمس - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

from 208

from 208

Abstract

Light neutron-rich exotic nuclei are characterized by weak binding energies that lead to “exotic” features such as halos. The striking feature of the halo nuclei is the long tail of their matter density due to their weak binding energy, so the probability to be excited to continuum states is higher compared to the stable isotopes.
The current study is concerned with the sensitivity of the nuclear reactions, for the halo nuclei with stable nuclei and with protons, to the matter halo density function.
This thesis contains four chapters as follows:
Chapter (1) contains an introduction about the rising interest of the halo nuclei in the research field and their types. Different models have been used to study the scattering of halo nuclei stable nuclei and with protons. These models are applicable at low and intermediate energies.
In chapter (2), the elastic differential cross section for the interaction of halo nuclei with 12C at 800 MeV/N is calculated. The calculations are done in the framework of the Glauber optical limit approximation (OLA) at low momentum transfer. The sensitivity of the elastic scattering to the halo density and the ratio between the root mean square radius of the core and of the halo is the main goal of this study. The projectile nuclei are taken to be one-neutron halo (1NH) and two-neutron halo (2NH). The calculations are carried out for Gaussian – Gaussian (ρ^GG), Gaussian – Oscillator (ρ^GO) and Gaussian – 2s (ρ^G2s) densities for each considered projectile in the mass number range 6-29. The zero range approximation is considered in the calculations. We found that the sensitivity of elastic differential cross section to the halo density is clear if the nucleus seems to be consisting of two clear different clusters as core and halo. In addition, the effect of inserting the Coulomb potential is studied.
In chapter (3), the elastic scattering of protons with halo nuclei has been studied. The calculations are done using the optical limit approximation at intermediate energies. The density functions of the halo nuclei are the same as the densities that used in chapter (2). Analytic expressions for the phase shift functions (χ_OLA^i; i≡GG,GO,G2s) are derived. The in–medium and free–medium effects are taken into account and their results are compared with each other for the three considered densities. The obtained results are also compared with the available experimental data.
Chapter (4) contains the study of the reaction cross section for the interaction of halo nuclei with different stable ones. The halo nuclei are divided into one – neutron halo and two – neutron halo nuclei. The mass number range for the one – neutron halo nuclei is 11 – 29 and for the two – neutron halo nuclei is 6 – 19. Also, the mass range for the stable target nuclei is 4 – 28. The theoretical results are compared with the available experimental data and with the geometrical reaction cross section. In addition, the results in case of including in–medium effect are studied.
All the above calculations were executed via self constructed codes using FORTRAN POWER STATION COMPLIER. These are introduced in the appendices.