The composite particle representation theory (CPRT) and its application to boson mapping is reviewed. The symmetry limits of the Fermion Dynamical Symmetry Model (FDSM) is employed as a solvable model to test the validity of various boson mapping approaches. It is shown that the composite particle representation approach is a very powerful tool for boson mapping. The spurious state problem is also discussed.

International Journal of Modern Physics EJan 1, 19933 citations

Nuclear Physics A

The composite particle representation theory and the effective boson-boson and boson-fermion interactions in nuclei

Cheng-Li Wu, D.H. Feng

Published Jun 1, 1984• 0 citations

Publisher

DOI: 10.1016/0375-9474(84)90348-8

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International Journal of Modern Physics EJan 1, 19933 citations

The composite particle representation theory (CPRT) proposed by Wu and Feng is examined by comparing its results to the shell-model calculations of Wildenthal and Chung for the s-d shell nuclei

^{20}\mathrm{O}

^{20}\mathrm{F}

, and

^{20}\mathrm{Ne}

. Each identical nucleon pair is treated in the CPRT as a boson. In all cases, the CPRT results are identical to the shell model. It was found that by evaluating the normalizations and the error sums of the CPRT wave functions, the spurious states, a subject of vital importance for any mapping theory, can be and are correctly removed. This shows that the composite particle representation is equivalent to the conventional representation in quantum mechanics. Thus the CPRT can provide an exact theoretical framework to treat particle clusters as ideal bosons (or fermions, depending on the nature of the clusters) in a many-body system, and is particularly useful for any quantum systems where clusterization dominates.