Phenomenological Alpha-Alpha Interactions and its Application on ¹⁶O Nucleus

The thesis includes the study of alpha-alpha interactions and apply them to the nucleus of the ¹⁶ O by using Hartree-Fock method for bosons. The used potentials are Ali-Bodmer potential, Modified Woods- Saxon potential, Fish-Bone I (FB-I) and Fish-Bone II (FB-II) potential. Also, the properties of nuclear structure of ¹⁶ O nucleus are calculated such as binding energy, form factor and root mean square radius. The results we have obtained were compared with previous results in the same field of research topic. This work requires knowledge of different kinds of potentials and the difference between the phenomenological and microscopic interactions and research in Hartree-Fock method and nuclear models, especially shell model. The content of the present thesis can be summarized as the following: The first Chapter, (Introduction), presents detailed informations about the nuclear structure, clustering, alpha clustering and nuclear models especially the shell model. Also, a review of previous researches in the research topic ( phenomenological alpha- alpha interactions). The second chapter, (Alpha-Alpha interactions), many types of phenomenological alpha-alpha interactions and its various forms are displayed, including what has been used in the thesis.The third chapter, (Derivation of Hartree-Fock Method for Bosons), illustrates the theoretical calculations which have been used in the thesis, the derivation of the Hartree-Fock method for bosons, the variational method and the derivation of binding energy, form factor and root mean square radius equations. the fourth chapter, (Numerical Results and Discussion), includes the present theoretical results of the nuclear structure of ¹⁶ O nucleus using the previous four potentials, and comparing our present results with the experimental and previous theoretical ones.