Exploring Three Nucleon Forces in Lattice QCD
Abstract
We study the three nucleon force in Nf=2 dynamical clover fermion lattice QCD, utilizing the Nambu-Bethe-Salpeter wave function of the three nucleon system. Since parity-odd two nucleon potentials are not available in lattice QCD at this moment, we develop a new formulation to extract the genuine three nucleon force which requires only the information of parity-even two nucleon potentials. In order to handle the extremely expensive calculation cost, we consider a specific three-dimensional coordinate configuration for the three nucleons. We find that the linear setup is advantageous, where nucleons are aligned linearly with equal spacings. The lattice calculation is performed with 16^3 x 32 configurations at \beta=1.95, m_\pi=1.13 GeV generated by CP-PACS Collaboration, and the result of the three nucleon force in triton channel is presented.
Keywords
Cite
@article{arxiv.1105.6247,
title = {Exploring Three Nucleon Forces in Lattice QCD},
author = {Takumi Doi and for HAL QCD Collaboration},
journal= {arXiv preprint arXiv:1105.6247},
year = {2015}
}
Comments
Talk given at International conference on the structure of baryons (BARYONS'10), Osaka, Japan, 7-11 Dec 2010, 4 pages, 2 figures