Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-11-14
PoSLAT2007:002,2007
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 10 figures, Plenary talk presented at the XXVth International Symposium on Lattice Field Theory, July 30 - August 4,
Scientific paper
Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from various lattice determinations of low energy constants in $N_f=2$ chiral perturbation theory. The results agree with each other and agree also with other non-lattice estimates. Recently the $P$-wave $\pi\pi$ scattering phase shift for the I=1 channel has been calculated. A preliminary estimate of the $\rho$ meson decay width from the phase shift is consistent with the experimental value. Two approaches to potentials between hadrons are discussed. One is a method using static quarks to define the distance between two hadrons. The other is a method to define a potential from a wave function of two hadrons. An application of the latter to the nucleon-nucleon ($NN$) potential turns out to reproduce qualitative features of the phenomenological $NN$ potential such as attraction at long distance and repulsion at short distance. Theoretical issues of this approach are also discussed.
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