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Collective coordinates, shape transitions and shape coexistence: a microscopic approach

Takashi Nakatsukasa·Niels R. Walet
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Abstract

We investigate a description of shape-mixing and shape-transitions using collective coordinates. To that end we apply a theory of adiabatic large-amplitude motion to a simplified nuclear shell-model, where the approximate results can be contrasted with exact diagonalisations. We find excellent agreement for different regimes, and contrast the results with those from a more standard calculation using a quadrupole constraint. We show that the method employed in this work selects diabatic (crossing) potential energy curves where these are appropriate, and discuss the implications for a microscopic study of shape coexistence.

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Takashi Nakatsukasa, Niels R. Walet. 1998-07-30. Collective coordinates, shape transitions and shape coexistence: a microscopic approach. https://doi.org/10.1103/physrevc.58.3397

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