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Type of publication: conference paper
Type of publication (PDB): Konferencijų tezės nerecenzuojamuose leidiniuose / Conference theses in non-peer-reviewed publications (T2)
Field of Science: Fizika / Physics (N002)
Author(s): Stepšys, Augustinas;Mickevičius, Saulius;Germanas, Darius;Kalinauskas, Ramutis Kazys
Title: Different types of clusterization of six body systems using Jacobi coordinates
Is part of: Open readings 2018: 61st international conference for students of physics and natural sciences, March 20-23, 2018, Vilnius, Lithuania: programme and abstracts. Vilnius : Vilnius University, 2018
Extent: p. 84-84
Date: 2018
Keywords: Jacobi coordinates;Clusterization;Six body system
Abstract: The antisymmetrization of a given system and the center of mass (CM) elimination must be ensured for the wave function of nuclear system. CM problem is easily solved by direct construction of the CM free wavefunction in terms of the relative (Jakobi) coordinates of an identical fermions. If the Jakobi coordinates are used, then the antisymetrization procedure can be done in isospin formalism and the use of Slater determinants is not needed. By using this type of approach the spurious state elimination is avoided and significant reduction of matrix dimensions is achieved. Wavefunction antisymmetrization for a six body system can be based on eigenvalue calculation of two particle transposition operator P of a symmetry group S6. In this method, six particle system can partitioned into different types of sub-clusters. For example, six particle system can be partitioned into three particle subclusters and subclusters made from four and two particles. (Fig.1). The basis states of subclusters must be antisymmetrized before the antisymmetrization of whole system [1]. Then the six body system can be characterized by good quantum numbers: Oscillator quanta E, total angular momentum J, parity π, isospin T and additional integer quantum number ∆ for unambiguous enumeration of the basis states. In presentation, the procedure of antisymmetric basis state construction for six particle nuclear system in different types of clusterization will be given, as well as calculation results
Affiliation(s): Fizikos institutas
Fizikos katedra
Vilniaus universitetas
Vytauto Didžiojo universitetas
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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