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Phys. Rev. Lett. 99, 022001 (2007) [4 pages]

Nuclear Force from Lattice QCD

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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

Received 28 November 2006; published 12 July 2007

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 [≃(4.4  fm)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 1S0 and 3S1 channels, we show that the central part of VNN(r) has a strong repulsive core of a few hundred MeV at short distances (r≲0.5  fm) surrounded by an attractive well at medium and long distances. These features are consistent with the known phenomenological features of the nuclear force.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.022001
DOI:
10.1103/PhysRevLett.99.022001
PACS:
12.38.Gc, 13.75.Cs, 21.30.Cb
 
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