Abstract
Two methods for selecting collective bosons, one proposed by Klein and Vallières and the other a number conserved Tamm-Dancoff method, are applied in this work to boson mapping methods. The first mapping to be tested is a Dyson boson mapping in the SD shell and the second is a mapping developed by Bonatsos, Klein and Li and applied to two j-shells with ¦j 1−j 2¦ = 4 . Whenever the boson mappings are accurate, the selection of collective bosons gives good results, independent of the method considered.
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