Correlation energy of the pairing Hamiltonian

K. Hagino, G. F. Bertsch

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We study the correlation energy associated with the pair fluctuations in BCS theory. We use a schematic two-level pairing model and discuss the behavior of the correlation energy across shell closures, including the even-odd differences. It is shown that the random phase approximation (RPA) to the ground state energy reproduces the exact solutions quite well both in the normal fluid and in the superfluid phases. In marked contrast, other methods to improve the BCS energies, such as Lipkin-Nogami method, only work when the strength of a pairing interaction is large. We thus conclude that the RPA approach is better for a systematic theory of nuclear binding energies.

Original languageEnglish
Pages (from-to)163-174
Number of pages12
JournalNuclear Physics A
Issue number2
Publication statusPublished - 2000 Nov 20
Externally publishedYes


  • BCS theory
  • Lipkin-Nogami method
  • Pairing
  • Pairing vibration
  • QRPA
  • RPA correlation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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