A complex integration technique to remove spurious states associated with spontaneously broken symmetries in RPA calculations

P. Donati, T. Døssing, Yoshifumi Shimizu, P. F. Bortignon, R. A. Broglia

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The removal of the spurious states associated with the violation of rotational and gauge invariance by mean field approximation from the RPA solutions describing the low-energy spectrum of nuclei is a notoriously difficult task, in particular in a rotating frame. A novel, numerically accurate yet technically simple method to accomplish this aim has been developed based on linear response theory. The results of calculations carried out for the deformed, superfluid, rotating nucleus 168Yb testify to the power of the technique, the associated solutions respecting the variety of sum rules required to be fulfilled by the RPA solutions because of conservation laws.

Original languageEnglish
Pages (from-to)27-44
Number of pages18
JournalNuclear Physics A
Volume653
Issue number1
DOIs
Publication statusPublished - Jun 28 1999

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broken symmetry
nuclei
gauge invariance
conservation laws
sum rules
invariance
energy spectra
approximation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

A complex integration technique to remove spurious states associated with spontaneously broken symmetries in RPA calculations. / Donati, P.; Døssing, T.; Shimizu, Yoshifumi; Bortignon, P. F.; Broglia, R. A.

In: Nuclear Physics A, Vol. 653, No. 1, 28.06.1999, p. 27-44.

Research output: Contribution to journalArticle

Donati, P. ; Døssing, T. ; Shimizu, Yoshifumi ; Bortignon, P. F. ; Broglia, R. A. / A complex integration technique to remove spurious states associated with spontaneously broken symmetries in RPA calculations. In: Nuclear Physics A. 1999 ; Vol. 653, No. 1. pp. 27-44.
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