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

Abstract

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 S-state 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.

40 pages, 11 figures. Prog. Theor. Phys. accepted version

References in corpus (5)

• Nuclear Physics from lattice QCD at strong coupling
• Hyperon-nucleon force from lattice QCD
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Nuclear forces from quenched and 2+1 flavor lattice QCD using the PACS-CS gauge configurations
• Derivation of Lüscher's finite size formula for $N\pi$ and $NN$ system

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