Original scientific paper
Truncated strong-coupling basis states for the SU(3) limit of SU(6) particle-quadrupole phonon model (PTQM)
Denis K. Sunko
; Prirodoslovno-matematički fakultet, University of Zagreb, Marulićev trg 19, 41000 Zagreb, Yugoslavia
Vladimir Paar
; Prirodoslovno-matematički fakultet, University of Zagreb, Marulićev trg 19, 41000 Zagreb, Yugoslavia
Abstract
The truncated strong-coupling (TSC) basis is constructed, using the intrinsic state for odd system (particle j) plus SU(3) coherent quadrupole phonon state) and asymptotic correspondence to Bohr-Mottelson rotational model. In TSG-basis I x I matrix elements satisfy ΔK = 0, ± 1 rule independently of maximum phonon number N, while for matrix elements of SU(3) particle-vibration interaction this rule is broken. The ensuing conditions for TSC basis to be eigenstates of PTQM are formulated and related to the strong-coupling limit of effective particle-vibration interaction strength.
Keywords
Hrčak ID:
329843
URI
Publication date:
8.4.1985.
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