English

Quark-anti-quark potentials from Nambu-Bethe-Salpeter amplitudes on lattice

High Energy Physics - Lattice 2012-12-03 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Quark--anti-quark (anti-q-q) potentials with finite quark masses 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 lattice QCD, we derive the anti-q-q potentials 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 at each quark mass in both channels show linear plus Coulomb form. We also discuss the quark-mass and channel dependence of the anti-q-q potentials.

Keywords

Cite

@article{arxiv.1102.2097,
  title  = {Quark-anti-quark potentials from Nambu-Bethe-Salpeter amplitudes on lattice},
  author = {Yoichi Ikeda and Hideaki Iida},
  journal= {arXiv preprint arXiv:1102.2097},
  year   = {2012}
}

Comments

5 pages, 9 figues