出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：The first lattice QCD result on the nuclear force (the NN potential) is presented in the quenched
level. The standard Wilson gauge action and the standard Wilson quark action are employed
on the lattice of the size 163 £24 with the gauge coupling b = 5:7 and the hopping parameter
k = 0:1665. To obtain the NN potential, we adopt a method recently proposed by CP-PACS
collaboration to study the pp scattering phase shift. It turns out that this method provides the
NN potentials which are faithful to those obtained in the analysis of NN scattering data. By
identifying the equal-time Bethe-Salpeter wave function with the Schrödinger wave function for
the two nucleon system, the NN potential is reconstructed so that the wave function satisfies the
time-independent Schrödinger equation. In this report, we restrict ourselves to the JP = 0+ and
I = 1 channel, which enables us to pick up unambiguously the “central” NN potential Vcentral(r).
The resulting potential is seen to posses a clear repulsive core of about 500 MeV at short distance
(r <
» 0:5 fm). Although the attraction in the intermediate and long distance regions is still missing
in the present lattice set-up, our method is appeared to be quite promising in reconstructing the
NN potential with lattice QCD.
