Analysis of the ground-state band and a closely related intercalated band of ²³⁵₉₂U₁₄₃ by the two-revolving-cluster model with consideration of symmetric and antisymmetric resonance of the two dissimilar clusters

Abstract

The reported ground-state band of ²³⁵₉₂U₁₄₃ extending from J = 7/2- to 51/2- is found to be two intercalated bands, one beginning with 7/2- and the other with 9/2-, each with ΔJ = 2. Analysis by the two-resonating-cluster model leads to 3875 Da.fm² for the moment of inertia for the first few levels, then increasing by centrifugal stretching. This value is interpreted by the structure p⁷⁰n¹¹² for the central sphere with clusters p¹¹n¹⁶ and p¹¹n¹⁵ with radius of revolution R = 8.55 fm. The major principal axis of the Poinsot ellipsoid is taken to be determined by an unquantized number K, with vector intermediate in orientation between L and J. The values of K are found by empirical analysis to equal L + 0.28, with the theory of rotation of the ellipsoid giving L + 0.28 for 7/2-, slowly decreasing to L + 0.251 for 51/2-. The 7/2- band is based on odd values of L (negative parity) and the 9/2- band on even values (positive parity). Negative parity for both bands is achieved by symmetric resonance of the two dissimilar clusters in the 7/2- band and antisymmetric resonance in the 9/2- band.

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