Abstract
Abstract Since the usual boson mapping methods are based on either Tamm-Dancoff phonons or bare fermion pairs, the ground-state correlation is not well taken into account by them. To improve this, we propose a new treatment of Dyson boson mapping based on a modification of the RPA phonon, which is used in the practical treatment of the self-consistent collective-coordinate (SCC) method. Applying this new method to a solvable SU(3) model and comparing the results with the exact solutions, we show that it is a good improvement of the usual Dyson boson mapping method. We also compare this method with the quantized first-order Dyson-type representation of the SCC method, which can be considered as another way to include the ground-state correlation in a boson mapping.
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