Simple relations among E2 matrix elements of low-lying collective states

Simple relations among E2 matrix elements of low-lying collective states

A method is developed to derive simple relations among the reduced matrix elements of the quadrupole operator between low-lying collective states. As an example, the fourth-order scalars of Q are considered. The accuracy and validity of the proposed relations is checked for the ECQF Hamiltonian of t...

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Bibliographic Details
Published in:Physics letters. B Vol. 521; no. 3-4; pp. 146 - 152
Main Authors: Werner, V., von Brentano, P., Jolos, R.V.
Format: Journal Article
Language:English
Published: Elsevier B.V 29-11-2001
Subjects:
21.60.Ev
21.60.Fw
21.10.Ky
Online Access:Get full text
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Summary:A method is developed to derive simple relations among the reduced matrix elements of the quadrupole operator between low-lying collective states. As an example, the fourth-order scalars of Q are considered. The accuracy and validity of the proposed relations is checked for the ECQF Hamiltonian of the IBM-1 in the whole parameter space of the Casten triangle. Furthermore these relations are successfully tested for low-lying collective states in nuclei for which all relevant data is available.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(01)01191-1