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arXiv · 0711.2151

Hadron interactions from lattice QCD

Sinya Aoki
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Abstract

Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $ππ$ 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 $ππ$ scattering phase shift for the I=1 channel has been calculated. A preliminary estimate of the $ρ$ 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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Sinya Aoki. 2007-11-14. Hadron interactions from lattice QCD. https://arxiv.org/abs/0711.2151

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