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Quadrupole collective variables in the natural Cartan-Weyl basis

S. De Baerdemacker·K. Heyde·V. Hellemans
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Abstract

The matrix elements of the quadrupole collective variables, emerging from collective nuclear models, are calculated in the natural Cartan-Weyl basis of O(5) which is a subgroup of a covering $SU(1,1)\times O(5)$ structure. Making use of an intermediate set method, explicit expressions of the matrix elements are obtained in a pure algebraic way, fixing the $γ$-rotational structure of collective quadrupole models.

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S. De Baerdemacker, K. Heyde, V. Hellemans. 2007-01-03. Quadrupole collective variables in the natural Cartan-Weyl basis. https://doi.org/10.1088/1751-8113%2F40%2F11%2F009

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