Giant Monopole States in the Suzuki Model

摘要

It is shown that Suzuki's monopole-monopole force model of interacting fermions in harmonic-oscillator states can produce a giant monopole state at any energy above the unperturbed energy of 2 h-bar omega . The criterion previously used to determine the force strength, when correctly applied, produces collapse in the R.P.A. For physically meaningful results, the force must have a positive strength parameter. An exact algebraic solution of the model is presented, and it is argued that the model does not imply anything about giant monopole states in real nuclei. (Atomindex citation 10:428810)