Quadrupole correlation energy by the generator coordinate method

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

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We investigate the accuracy of several schemes to calculate ground-state correlation energies using the generator coordinate technique. Our test bed for the study is the sd-interacting boson model, equivalent to a six-level Lipkin-type model. We find that the simplified projection of a triaxial generator coordinate state using the S3 subgroup of the rotation group is not very accurate in the parameter space of the Hamiltonian of interest. On the other hand, a full rotational projection of an axial generator coordinate state gives remarkable accuracy. We also discuss the validity of the simplified treatment using the extended Gaussian overlap approximation, and show that it works reasonably well when the number of boson is 4 or larger.

Original languageEnglish
Article number024306
Pages (from-to)243061-243068
Number of pages8
JournalPhysical Review C - Nuclear Physics
Issue number2
Publication statusPublished - 2003 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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