THE F-SPIN STRUCTURE OF THE NEUTRON-PROTON INTERACTING BOSON MODEL: HAMILTONIAN AND ELECTROMAGNETIC OPERATORS
- 20 August 1989
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 04 (14) , 3665-3688
- https://doi.org/10.1142/s0217751x89001461
Abstract
We study the F-spin structure of a general proton-neutron interacting boson model Hamiltonian and of the corresponding electromagnetic operators, using a separation into parts which are symmetric and antisymmetric under the interchange of proton and neutron degrees of freedom. We also use a formal procedure in which we couple proton and neutron operators to a given F-tensor rank. We deduce conditions of F-spin symmetry and F-spin invariance for the Hamiltonian, as well as selection rules for electromagnetic transition matrix elements. We use first order perturbation theory to obtain the (F, Fz)-dependence of the energy and wave functions, when F-vector and F-tensor (rank 2) parts are added to an “unperturbed” Hamiltonian, which is F-spin invariant.Keywords
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