Quadrupole collective variables in the natural Cartan-Weyl basis

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

submitted to Journal of Physics A

References in corpus (1)

• Solutions of the Bohr hamiltonian, a compendium

Cited by in corpus (6)

• Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality
• Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients
• Racah's method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases
• The quadrupole collective model from a Cartan-Weyl perspective
• Spectral properties of a tractable collective Hamiltonian
• Polynomial algebras from Lie algebra reduction chains $\mathfrak{g}\supset {\mathfrak{g}}^{\prime }$