Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-11-07
Few Body Syst.38:17-29,2006
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, 4 figures, typos corrected, presentation clarified
Scientific paper
10.1007/s00601-005-0121-3
We investigate the chiral extrapolation of the lattice data for the light-heavy meson hyperfine splittings D^*-D and B^*-B to the physical region for the light quark mass. The chiral loop corrections providing non-analytic behavior in m_\pi are consistent with chiral perturbation theory for heavy mesons. Since chiral loop corrections tend to decrease the already too low splittings obtained from linear extrapolation, we investigate two models to guide the form of the analytic background behavior: the constituent quark potential model, and the covariant model of QCD based on the ladder-rainbow truncation of the Dyson-Schwinger equations. The extrapolated hyperfine splittings remain clearly below the experimental values even allowing for the model dependence in the description of the analytic background.
Guo Xin-Heng
Tandy Peter. C.
Thomas Anthony W.
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