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

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

2001-05-16

arxiv.org/abs/nucl-ex/0105009v1

Phys.Lett. B521 (2001) 146-152

Physics

Nuclear Physics

Nuclear Experiment

12 pages, 1 figure, RevTeX preprint-style

Scientific paper

10.1016/S0370-2693(01)01191-1

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.

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