Exploring Three-Nucleon Forces in Lattice QCD
Abstract
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 x 32 lattice with a large quark mass corresponding to m_\pi= 1.13 GeV. We find repulsive 3NF at short distance in the triton channel. Several sources of systematic errors are also discussed.
Keywords
Cite
@article{arxiv.1106.2276,
title = {Exploring Three-Nucleon Forces in Lattice QCD},
author = {Takumi Doi and Sinya Aoki and Tetsuo Hatsuda and Yoichi Ikeda and Takashi Inoue and Noriyoshi Ishii and Keiko Murano and Hidekatsu Nemura and Kenji Sasaki and for HAL QCD Collaboration},
journal= {arXiv preprint arXiv:1106.2276},
year = {2012}
}
Comments
20 pages, 7 figures. Accepted for publication in Prog. Theor. Phys