Quadrupole collective variables in the natural Cartan-Weyl basis

Details Quadrupole collective variables in the natural Cartan-Weyl basis Quadrupole collective variables in the natural Cartan-Weyl basis

2007-01-03

arxiv.org/abs/nucl-th/0701008v1

J. Phys. A: Math. Theor. 40 (2007) (p2733-2749)

Physics

Nuclear Physics

Nuclear Theory

submitted to Journal of Physics A

Scientific paper

10.1088/1751-8113/40/11/009

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 $\gamma$-rotational structure of collective quadrupole models.

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