Lambda-nucleon force from lattice QCD
Abstract
We study the -nucleon () force by using lattice QCD. The Bethe-Salpeter amplitude is calculated for the lowest scattering state of the so as to obtain the potential. The numerical calculation is twofold: (i) Full lattice QCD by using 2+1 flavor PACS-CS gauge configurations with, , corresponding to the lattice spacing of fm, on a lattice. A set of parameter is used, which corresponds to MeV and MeV. The spatial lattice volume corresponds to (2.86 fm). (ii) Quenched lattice QCD with , the lattice spacing of fm, on the lattice. Two sets of hopping parameters are used. The spatial lattice volume is (4.5 fm). For the full QCD, we find that the has a relatively strong (weak) repulsive core in the () channel at short distance, while the potential has slight attractive region at medium distance. The lowest scattering energy in the finite lattice volume is calculated; Slightly negative values obtained in both spin channels. For the quenched QCD, we find that the results are qualitatively in agreement with those in the full QCD calculation.
Keywords
Cite
@article{arxiv.0902.1251,
title = {Lambda-nucleon force from lattice QCD},
author = {H. Nemura and N. Ishii and S. Aoki and T. Hatsuda and for PACS-CS Collaboration},
journal= {arXiv preprint arXiv:0902.1251},
year = {2010}
}
Comments
7 pages, 4 figures, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, Virginia, USA