3.9 Article

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

Journal

PROGRESS OF THEORETICAL PHYSICS
Volume 123, Issue 1, Pages 89-128

Publisher

PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
DOI: 10.1143/PTP.123.89

Keywords

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Funding

  1. MEXT [15540254, 18540253, 19540261, 20340047]
  2. Grant-in-Aid for Specially Promoted Research [13002001]
  3. Grant-in-Aid for Scientific Research on Innovative Areas [2004: 20105001, 20105003]
  4. Large Scale Simulation Program [18, 06-21 (FY2006), 07-07 (FY2007), 08-19 (FY2008), 09-23 (FY2009)]
  5. Grants-in-Aid for Scientific Research [20105001] Funding Source: KAKEN

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We present full accounts of a method to extract nucleon-nucleon (N N) 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 S-state and the ID-state, we obtain central and tensor potentials in the leading order of the velocity expansion of the. non-local N N potential. The spatial structure and the quark mass dependence of the potentials are analyzed in detail.

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