Nuclear Force from Lattice QCD

N. Ishii, S. Aoki, and T. Hatsuda
Phys. Rev. Lett. 99, 022001 – Published 12 July 2007

Abstract

The nucleon-nucleon (NN) potential is studied by lattice QCD simulations in the quenched approximation, using the plaquette gauge action and the Wilson quark action on a 324 [(4.4fm)4] lattice. A NN potential VNN(r) is defined from the equal-time Bethe-Salpeter amplitude with a local interpolating operator for the nucleon. By studying the NN interaction in the S01 and S13 channels, we show that the central part of VNN(r) has a strong repulsive core of a few hundred MeV at short distances (r0.5fm) surrounded by an attractive well at medium and long distances. These features are consistent with the known phenomenological features of the nuclear force.

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  • Received 28 November 2006

DOI:https://doi.org/10.1103/PhysRevLett.99.022001

©2007 American Physical Society

Authors & Affiliations

N. Ishii1,2, S. Aoki3,4, and T. Hatsuda2

  • 1Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Ibaraki, Japan
  • 2Department of Physics, University of Tokyo, Tokyo 113-0033, Japan
  • 3Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Ibaraki, Japan
  • 4RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA

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Issue

Vol. 99, Iss. 2 — 13 July 2007

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