Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations

@article{Aoki2010TheoreticalFO,
  title={Theoretical Foundation of the Nuclear Force in QCD and Its Applications to Central and Tensor Forces in Quenched Lattice QCD Simulations},
  author={Sinya Aoki and Tetsuo Hatsuda and Noriyoshi Ishii},
  journal={Progress of Theoretical Physics},
  year={2010},
  volume={123},
  pages={89-128}
}
We present full accounts of a method to extract nucleon-nucleon ( NN ) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applied to two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the Sstate and the D-state, we obtain central and tensor potentials in the leading order of the velocity expansion of the non-local NN potential. The spatial structure and the quark mass dependence of the potentials are analyzed in detail. Subject… 

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