Particle-Hole Symmetry in Generalized Seniority, Microscopic Interacting Boson (Fermion) Model, Nucleon-Pair Approximation, and Others

摘要

The particle-hole symmetry (equivalence) of the full shell-model Hilbertspace is straightforward and routinely used in practical calculations. In thiswork we show that this symmetry is preserved in the subspace truncated at acertain generalized seniority, and give the explicit transformation between thestates in the two types (particle and hole) of representations. Based on theresults, we study the particle-hole symmetry in popular theories that could beregarded as further truncations on top of the generalized seniority, includingthe microscopic interacting boson (fermion) model, the nucleon-pairapproximation, and others.