Comparisons of BCS Nuclear Wave Functions with Exact Solutions. II. Particle-Number-Conserving Method
- 21 January 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 141 (3), 941-948
- https://doi.org/10.1103/physrev.141.941
Abstract
We investigate whether, in the nuclear pairing theory of the BCS type, a sudden transition from configuration mixing to nonconfiguration mixing state at a critical force strength is a physical phenomenon. The variational method taking the components of the BCS wave function with correct particle number shows that such a transition is an artificial feature of the theory arising mainly from the number fluctuation in the wave function. The effect of a 4-quasiparticle component in the number-conserving method is to improve higher order amplitudes of the wave function, to necessitate a reduction of , and to modify the roles of the and parameters. The absence of a sudden transition is expected to have some bearing on the question of whether a discontinuous "Mottelson-Valatin effect" in the nuclear rotational spectra does exist in nature.
Keywords
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