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Some angular correlation functions for successive nuclear radiations Hess, Forest Gene

Abstract

Let J’, J, J" represent the total angular momenta of the initial, intermediate, and final states of a nucleus respectively and J₁, J₂ the total angular momenta of the first and second emitted particles. Then, in terms of this notation, the following results can be found in this thesis. α – γ and γ – γ correlation functions have been calculated explicitly in terms of cos²θ for those transition schemes satisfying the following conditions: (i) J' = J +J₁, J = J" + J₂ for arbitrary J₁, J₂ = 1, 2. (ii) J' = J - J₁, J = J" - J₂ for arbitrary J₁, J₂ = 1, 2. (iii) J' = J₁ - J, J = J" +J₂ for arbitrary J₁, J₂ = 1, 2. (iv) J' = J - J₁, J = J₂ - J" for J₁ = 1, 2, arbitrary J₂. These are called the "special transitions" in the text. α – mixed γ correlation functions have been tabulated explicitly in terms of cos²θ for an α particle with total angular momentum 1 or 2 and a photon corresponding to a mixture of electric quadrupole and magnetic dipole radiation. For an α particle with total angular momentum 3 the α –mixed γ correlation functions can be obtained from a table which lists the sums of products of angular momentum coefficients appearing in these correlation functions. These correlation functions are too clumsy to be expressed explicitly In terms of cos²θ in general, however they can be fairly easily evaluated once numerical values of the angular momenta of the nuclear states are prescribed.

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