Projection and ground state correlations made simple

K. Hagino, P. G. Reinhard, P. G. Reinhard, G. F. Bertsch

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We develop and test efficient approximations to estimate ground state correlations associated with low- and zero-energy modes. The scheme is an extension of the generator coordinate method (GCM) within Gaussian overlap approximation (GOA). We show that the GOA fails in non-Cartesian topologies and presents a topologically correct generalization of the GOA (topGOA). A random-phase-approximation like (RPA-like) correction is derived as the small amplitude limit of topGOA, called topRPA. Using exactly solvable models, the topGOA and topRPA schemes are compared with conventional approaches (GCM-GOA, RPA, Lipkin-Nogami projection) for rotational-vibrational motion and for particle-number projection. The results shows that the new schemes perform very well in all regimes of coupling.

Original languageEnglish
Article number064320
Pages (from-to)643201-6432011
Number of pages5788811
JournalPhysical Review C - Nuclear Physics
Volume65
Issue number6
DOIs
Publication statusPublished - 2002 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    Hagino, K., Reinhard, P. G., Reinhard, P. G., & Bertsch, G. F. (2002). Projection and ground state correlations made simple. Physical Review C - Nuclear Physics, 65(6), 643201-6432011. [064320]. https://doi.org/10.1103/PhysRevC.65.064320