The Fifth Conference “ Nuclear Science and Its Application”, 14-17 October 2008
FERMION DYNAMICAL SYMMETRY MODEL OF NUCLEI AND ITS
APPLICATION
K- BAKTYBAYEV
Kazakhstan, Almaty, al-Farabi University
At the phenomenological level, the Interacting boson model (IBM) has only a tenuous link to the fundamental shell structure. Therefore, although it provides a unified algebraic view for various collective modes, it is beyond the scope of the model to provide a deeper understanding of these collective modes and the related dynamical symmetries at the fermion level. There has been considerable effort to provide a better way of mapping a fermion system to a boson system so that a microscopic understanding of the IBM could be achieved. However, any dynamical symmetries relevant to nuclear structure should manifest themselves directly from the fermion degrees o f freedom without explicitly introducing bosons.
An important milestone for fermion dynamical symmetry in nuclear physics is a fermionic model and the investigations its possible dynamical symmetries [1,2]. These researches is bounded with development of new methods, based on accentuation of fermion dynamical-symmetrical properties which consider parts of correlation of nucleons in system, which are important in study of basic and definite properties of nuclear systems o f nuclear processes.
In this theory of nuclear structure is coustructed and developed theoretical-group approaches, based on exposure and generalization common fermion symmetrical properties, which proceed from nuclear bounding force and from common foundation of description o f the most important nuclear properties. Developed fermion dynamic-symmetrical model of collective movement o f nucleons in nuclear system turned out wider and more consistent as compared with pehenomenological interacting boson model.
Fermion model which aims at description of collective states and relies on algebraic symmetry concepts is directly related to the shell structure of the many nucleon systems. The building block of the fermion symmetry model are namely correlated fermion pairs S, S’ and D chosen in a way such that the pair creation and annihilation operators together with a set o f multipole operators. All asymptotical limits of theory, which turned out wider and dipper than limited situation o f IBM were founded.
