Adequacy of the boson basis and the identification of spurious states
- 1 March 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 33 (3) , 1041-1049
- https://doi.org/10.1103/physrevc.33.1041
Abstract
It is shown that it is not necessary to resort to an explicit mapping of the fermion basis into the boson space when bifermion excitations are treated in a boson picture. One may use the usual ideal boson basis in the boson space. Under certain circumstances this may lead to the occurrence of spurious states. However, these do not mix with the physical states and they can be identified by means of a simple procedure which is developed within the framework of the Dyson boson method. The results are illustrated by means of three interesting cases in the Sp(4) model.Keywords
This publication has 19 references indexed in Scilit:
- Physical boson basis states in the boson expansion theoriesPhysical Review C, 1985
- Bosonization of fermion operators as linked-cluster expansionsPhysical Review C, 1983
- The Interacting Boson ModelAnnual Review of Nuclear and Particle Science, 1981
- Unveiling s- and d-bosons in even- and odd-A nucleiNuclear Physics A, 1981
- Finite and infinite boson expansionsPhysical Review C, 1981
- Pairing and surface bosons and the group Sp(4)Physics Letters B, 1980
- Analysis of nuclear collective motions in terms of the boson expansion theoryNuclear Physics A, 1980
- Mode coupling and Dyson's finite boson expansion in nucleiPhysical Review C, 1977
- Description of nuclear collective motions in terms of the boson expansion techniqueNuclear Physics A, 1976
- Boson description of collective statesNuclear Physics A, 1971