Refinement of the energy expression for infinite fermion systems with central forces

Masatoshi Takano*, Takumi Kaneko, Masami Yamada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


A refinement is made on the approximate energy expression proposed previously by Takano and Yamada for infinite zero-temperature systems of spin-1/2 fermions interacting through two-body central forces which may depend on the two-body spin states. This refinement is accomplished through incorporation of a certain part of the three-body-cluster exchange terms into the energy expression. The Euler-Lagrange equation is derived from the refined energy expression and solved numerically for liquid 3He and for neutron matter. The energy per particle for liquid 3He is in better agreement with experimental data, while the effect of this refinement is relatively small for neutron matter. The three-body cluster terms not included in the refined energy expression are evaluated perturbatively and shown to be negligibly small for liquid 3He as well as for neutron matter with central forces.

Original languageEnglish
Pages (from-to)569-577
Number of pages9
JournalProgress of Theoretical Physics
Issue number4
Publication statusPublished - 1997 Apr

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Refinement of the energy expression for infinite fermion systems with central forces'. Together they form a unique fingerprint.

Cite this