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

AbstractWe consider, for doubly even nuclei, the excitation energy E2 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 [E2 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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