Exploratory study of nucleon-nucleon scattering lengths in lattice QCD
Abstract
An exploratory study is made of the nucleon-nucleon s-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The π-N and π-π scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to mπ/mρ~=0.73-0.95. The results show that the N-N system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the π-N and π-π cases, a trend which is qualitatively consistent with the experiment. Problems toward a more realistic calculation for light quarks are discussed.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1994
- DOI:
- 10.1103/PhysRevLett.73.2176
- arXiv:
- arXiv:hep-lat/9407012
- Bibcode:
- 1994PhRvL..73.2176F
- Keywords:
-
- 13.75.Cs;
- 12.38.Gc;
- Nucleon-nucleon interactions;
- Lattice QCD calculations;
- High Energy Physics - Lattice;
- Nuclear Theory
- E-Print:
- 9 pages. Latex file. Figures are also included as ps files