Abstract
The potentials between two mesons are computed in the heavy-quark limit using quenched lattice QCD at . Nonzero central potentials are clearly evident in all four spin-isospin channels, , (0, 1), (1, 0), (1, 1), where is the total spin of the light degrees of freedom. At short distance, we find repulsion in the channels and attraction in the channels. Linear combinations of these potentials that have well-defined spin and isospin in the -channel are found, in three of the four cases, to have substantially smaller uncertainties than the potentials defined with the -channel , and allow quenching artifacts from single hairpin exchange to be isolated. The coupling extracted from the long-distance behavior of the finite-volume -channel potential is found to be consistent with quenched calculations of the matrix element of the isovector axial-current. The tensor potentials in both of the channels are found to be consistent with zero within calculational uncertainties.
5 More- Received 1 April 2007
DOI:https://doi.org/10.1103/PhysRevD.76.114503
©2007 American Physical Society