UBC Theses and Dissertations
Some angular correlation functions for successive nuclear radiations Hess, Forest Gene
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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