Theorem on Angular Correlation

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Abstract
In a multiple cascade, the angular correlations between a gamma ray and each of two following or preceding gamma rays are shown to be equal for the following conditions: (1) The two observed gamma rays not common to both pairs must have the same multipolarity and must result from basic transitions. (2) If the two observed gamma rays not common to both pairs have unobserved gamma rays between them, these unobserved gamma rays must come from basic transitions. (3) The transitions subject to the first two conditions must take place between levels with spins in monotonic sequence.

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