Four particle harmonic-oscillator transformation brackets and their simplifications for special values of the mass-ratio parameters

• Authors: Saulius Mickevičius , Darius Germanas , Ramutis Kalinauskas
• Languages of publication: EN

Abstracts

EN

We present a new independent scheme of SO(3) group transformations suitable for the N particle system, composed of N − 1 and 1 particle subsystems, where N − 1 particles have their own intrinsic clusterization. The simple expressions for corresponding four-particle harmonic-oscillator transformation brackets are presented, as well as their simplifications for the special values of mass ratio parameters d = 0, d → ∞ and d
1 = 0, d
1 → ∞.

Keywords

EN

Mathematical methods in physics; Algebraic methods; Nuclear Shell Model

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 421-428

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

Saulius Mickevičius

• Vytautas Magnus University, K. Donelaičio 58, LT-44248, Kaunas, Lithuania

author

Darius Germanas

• Center for Physical Sciences and Technology, Savanorių 231, LT-02300, Vilnius, Lithuania

author

Ramutis Kalinauskas

• Center for Physical Sciences and Technology, Savanorių 231, LT-02300, Vilnius, Lithuania

References

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Identifiers

DOI

10.2478/s11534-011-0115-3