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A simple relation involving the E2 transition probabilities of neighbouring doubly even nucleides

Authors
Journal
Nuclear Physics A
0375-9474
Publisher
Elsevier
Publication Date
Volume
196
Issue
2
Identifiers
DOI: 10.1016/0375-9474(72)90972-4

Abstract

Abstract We consider, for doubly even nuclei, the excitation energy E 2 and the reduced electric quadrupole transition probability B(E2) between the ground state and first excited 2 + state. For a nucleus ( N, Z), the quantity [E 2 B(E2)] −1 is denoted by F( N, Z), and it is shown, on the basis of a microscopic model, that F(N, Z) + F(N + 2, Z + 2) − F(N, Z + 2) − F(N + 2, Z) ≈ 0 , excepting in certain specified regions. The consistency of the above difference equation is tested with the available experimental data. A few predictions of unmeasured B(E2) values are also made to illustrate the possible use of this approach.

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