Two regimes of rotation of a nucleus

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Abstract

A complete solution of the cranked harmonic oscillator is given. The evolution of various configurations as a function of their average angular momentum is studied. The self-consistency relation connecting the shape of the potential to that of the density is proved by a minimization principle. It is seen that this principle produces only a few typical behaviour of the configurations. Two extreme regimes emerge: for low angular momentum the non-axiality parameter γ increases and the nucleus becomes more symmetric around its rotation axis, for high angular momentum the nucleus gets an increased and unlimited elongation as a classical object.

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