Few-baryon interactions from lattice QCD
arXiv:1212.1606 · doi:10.1007/s00601-012-0593-x
Abstract
We report the recent progress on the determination of three-nucleon forces (3NF) in lattice QCD. We utilize the Nambu-Bethe-Salpeter (NBS) wave function to define the potential in quantum field theory, and extract two-nucleon forces (2NF) and 3NF on equal footing. The enormous computational cost for calculating multi-baryon correlators on the lattice is drastically reduced by developing a novel contraction algorithm (the unified contraction algorithm). Quantum numbers of the three-nucleon (3N) system are chosen to be (I, J^P)=(1/2,1/2^+) (the triton channel), and we extract 3NF in which three nucleons are aligned linearly with an equal spacing. 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(π)= 1.13 GeV. Repulsive 3NF is found at short distance.
Plenary talk given at the 20th International IUPAP Conference on Few-Body Problems in Physics (FB20), Fukuoka, Japan, 20-25 Aug 2012, 9 pages, 2 figures
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