The quadrupole collective model from a Cartan–Weyl perspective

S. De Baerdemacker, K. Heyde, V. Hellemans
Journal of Physics A: Mathematical and Theoretical
41 (30), 304039
Published while none of the authors were employed at the CMM


The matrix elements of the quadrupole variables and canonic conjugate momenta emerging from collective nuclear models are calculated within an SU(1, 1) × O(5) basis. Using a harmonic oscillator implementation of the SU(1, 1) degree of freedom, one can show 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.