Quark-anti-quark (q̄-q) potentials with finite quark masses are studied from the q̄-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 q̄-q potentials from the NBS wave functions. We calculate the q̄-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 q̄-q potentials.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)