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arXiv · 1011.2866

The anti-quark--quark potential from Bethe-Salpeter amplitudes on lattice

Yoichi Ikeda·Hideaki Iida
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Abstract

Potentials of quark--anti-quark pairs are studied from the anti-q--q Nambu-Bethe-Salpeter (NBS) wave functions in quenched lattice QCD. With the use of a method which has been recently developed in the derivation of nuclear forces from QCD, we derive the anti-q--q potentials with finite quark masses from the NBS wave functions. We calculate the anti-q--q NBS wave functions in pseudo-scalar and vector channels for several quark masses. The derived potentials in both channels reveal linear confinement plus Coulomb potentials. We also discuss the quark-mass and channel dependence of the anti-q--q potentials.

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Yoichi Ikeda, Hideaki Iida. 2010-11-12. The anti-quark--quark potential from Bethe-Salpeter amplitudes on lattice. https://arxiv.org/abs/1011.2866

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