Exploring three-nucleon forces in lattice QCD

Takumi Doi, Sinya Aoki, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki

Research output: Contribution to journalArticlepeer-review

86 Citations (Scopus)


Three-nucleon forces (3NF) are investigated from two-flavor lattice QCD simulations. We utilize the Nambu-Bethe-Salpeter (NBS) wave function to determine two-nucleon forces (2NF) and 3NF in the same framework. As a first exploratory study, we extract 3NF in which three nucleons are aligned linearly with an equal spacing. This is the simplest geometrical configuration which reduces the huge computational cost of calculating the NBS wave function. Quantum numbers of the three-nucleon system are chosen to be (I, J P) = (1/2,1/2 +) (the triton channel). Lattice QCD simulations are performed using N f = 2 dynamical clover fermion configurations at the lattice spacing of a = 0.156 fm on a 16 3 × 32 lattice with a large quark mass corresponding to m π = 1.13 GeV. We find repulsive 3NF at short distance in the triton channel. Several sources of systematic errors are also discussed.

Original languageEnglish
Pages (from-to)723-738
Number of pages16
JournalProgress of Theoretical Physics
Issue number4
Publication statusPublished - Apr 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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