Dynamical Symplectic Symmetry in the Quasiparticle-Phonon Nuclear Model

摘要

It is shown that in some constraints the quasiparticle-phonon nuclear model (QPM) has the dynamical symplectic symmetric limit. The conditions for the phonon amplitudes, under which the generators of the Sp(2d, R) algebra and of its central inhomogeneous extension - the WSp(2d, R) algebra can be constructed from the phonon and biphonon QPM operators, are obtained. The contribution of the Sp(2d, R) symmetry in the general WSp(2d, R) symmetry of the QPM is discussed. The exact Dyson boson realizations for the phonon and biphonon operators in the spaces of Perelomov partially coherent states and Barut-Girardello partially coherent states are derived. Based on these realizations in the symplectic symmetry limit of the QPM Hamiltonian the microscopic versions for the Hamiltonians of Sp(6, R) and WSp(6, R) models are suggested. 23 refs. (Atomindex citation 20:021062)