Mode coupling and Dyson's finite boson expansion in nuclei
- 1 August 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 16 (2) , 801-811
- https://doi.org/10.1103/physrevc.16.801
Abstract
In recent papers we developed and applied a mode (weak) coupling method for nuclei which show weak anharmonicity. In this work we demonstrate that this approach is rigorously equivalent to Dyson's finite boson expansion which has been generalized for nuclei by Janssen et al. We discuss here in detail the advantages and drawbacks of Dyson's method as for instance the appearance and localization of spurious states due to a violation of the Pauli principle. We also give a very simple prescription for calculating matrix elements in Dyson's method.Keywords
This publication has 12 references indexed in Scilit:
- The nuclei212Pb,212Bi,212Po,212At,212Rn in a microscopic weak-coupling approachLettere al Nuovo Cimento (1971-1985), 1976
- Mode coupling theory for the description of two particle-two hole states of208PbThe European Physical Journal A, 1976
- A numerical comparison of three different approaches to the weak or intermediate coupling model for 2 particle — 1 hole statesThe European Physical Journal A, 1974
- Nuclear structure calculations with a density-dependent force in 208PbNuclear Physics A, 1974
- Two-particle states in 210Pb, 210Bi and 210Po with realistic forcesNuclear Physics A, 1972
- Boson description of collective statesNuclear Physics A, 1971
- On the "Anharmonic Effects" on the Collective Oscillation in Spherical Even Nuclei. IIProgress of Theoretical Physics, 1964
- On the “Anharmonic Effects” on the Collective Oscillations in Spherical Even Nuclei. IProgress of Theoretical Physics, 1964
- Anharmonic effects of quadrupole oscillations of spherical nucleiNuclear Physics, 1962
- General Theory of Spin-Wave InteractionsPhysical Review B, 1956