Elsevier

Nuclear Physics A

Volume 331, Issue 1, 19 November 1979, Pages 81-92
Nuclear Physics A

Relation and comparison of nuclear field theory with the Dyson boson expansion and the Faddeev-Watson resummation technique

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Abstract

In this work we give a detailed mathematical description of how nuclear field theory (NFT) is related to Dyson's boson expansion (DBE) and to the Faddeev-Watson resummation technique (FWT). This is done for the specific example of three valence nucleons outside a closed core but it is evident that the relation is the same for all other kinds of situations where these methods can be applied. It thereby turns out that, compared to the linear DBE, NFT contains an additional spurious space: the free three-fermion space which gives rise to the nonlinearity of the latter, theory. On the other hand we also show that DBE is equivalent to FWT.

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Cited by (4)

  • On the microscopic theory of interacting bosons

    1983, Progress in Particle and Nuclear Physics

Work supported by the BMFT (Bundesminister für Forschung und Technologie).

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