Calculating Fractional-Parentage Coefficients for Six Body System in Translational Invariant Basis


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Abstract

In this paper we present an independent scheme for constructing fractional parentage coefficients using symmetry group apparatus in translationally invariantmodel space, suitable for the six-particle system composed of three-particle bi-clusters, where the presented subsystems have their own intrinsic clusterization. Simple expressions for corresponding antisymmetrization procedure are presented as well as computational results.

About the authors

Saulius Mickevicius

Vytautas Magnus University

Email: augustinas.stepsys@ff.vu.lt
Lithuania, Kaunas

Augustinas Stepsys

Department of Theoretical Physics

Author for correspondence.
Email: augustinas.stepsys@ff.vu.lt
Lithuania, Vilnius

Darius Germanas

Center for Physical Sciences and Technology

Email: augustinas.stepsys@ff.vu.lt
Lithuania, Vilnius

Ramutis Kazys Kalinauskas

Center for Physical Sciences and Technology

Email: augustinas.stepsys@ff.vu.lt
Lithuania, Vilnius

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