Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method: --Coupling between Large-Amplitude Collective Motion and Pairing Rotation--
- 1 August 1986
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 76 (2) , 372-386
- https://doi.org/10.1143/ptp.76.372
Abstract
The selfconsistent collective-coordinate (SCC) method is extended in order to microscopically describe large-amplitude collective motions in superconducting nuclei. To restore the nucleon-number conservation violated by the use of the quasipartcle representation, the collective variables representing the pairing rotation are explicitly introduced. The coupling between the large-amplitude collective motion and the pairing rotation is treated in such a way that unphysical deviation of the average nucleon number from the ground-state value is eliminated automatically. It is shown that the basic equations of the extended version of the SCC method can be solved by an iterative method similar to the well-known (η*, η) expansion. Applicability of the proposed method is investigated for an O(4) model.Keywords
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