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We investigate truncation schemes to reduce the computational cost ofcalculating correlations by the generator coordinate method based on mean-fieldwave functions. As our test nuclei, we take examples for which accuratecalculations are available. These include a strongly deformed nucleus, 156Sm, anucleus with strong pairing, 120Sn, the krypton isotope chain which containsexamples of soft deformations, and the lead isotope chain which includes thedoubly magic 208Pb. We find that the Gaussian overlap approximation for angularmomentum projection is effective and reduces the computational cost by an orderof magnitude. Cost savings in the deformation degrees of freedom are harder torealize. A straightforward Gaussian overlap approximation can be applied ratherreliably to angular-momentum projected states based on configuration setshaving the same sign deformation (prolate or oblate), but matrix elementsbetween prolate and oblate deformations must be treated with more care. Wepropose a two-dimensional GOA using a triangulation procedure to treat thegeneral case with both kinds of deformation. With the computational gains fromthese approximations, it should be feasible to carry out a systematiccalculation of correlation energies for the nuclear mass table.Comment: 11 pages revtex, 9 eps figure

Correlation energies by the generator coordinate method: Computational aspects for quadrupolar deformations