Projection and ground state correlations made simple

Details Projection and ground state correlations made simple Projection and ground state correlations made simple

2002-02-27

arxiv.org/abs/nucl-th/0202079v1

Phys.Rev. C65 (2002) 064320

Physics

Nuclear Physics

Nuclear Theory

RevTex, 12 pages, 7 eps figures

Scientific paper

10.1103/PhysRevC.65.064320

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 GOA fails in non-Cartesian topologies and present a topologically correct generalization of GOA (topGOA). An 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.

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