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arXiv · 0710.5570

The quadrupole collective model from a Cartan-Weyl perspective

Stijn De Baerdemacker·Kris Heyde·Veerle Hellemans
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Abstract

The matrix elements of the quadrupole variables and canonic conjugate momenta, emerging from collective nuclear models are calculated within a $SU(1,1)\times O(5)$ basis. Using a harmonic oscillator implementation of the SU(1,1) degree of freedom, it can be shown that the matrix elements of the quadrupole phonon creation and annihilation operators can be calculated in a pure algebraic way, making use of an intermediate state method.

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Stijn De Baerdemacker, Kris Heyde, Veerle Hellemans. 2008-08-02. The quadrupole collective model from a Cartan-Weyl perspective. https://doi.org/10.1088/1751-8113/41/30/304039

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