Quadrupole collective variables in the natural Cartan-Weyl basis

De Baerdemacker, S.; Heyde, K.; Hellemans, V.

Quadrupole collective variables in the natural Cartan-Weyl basis

Authors

De Baerdemacker, S.

Heyde, K.

Hellemans, V.

Description

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.
submitted to Journal of Physics A