2005/11/14 by Xin-Heng Guo, X. -H. Guo, P. C. Tandy +1 · 1 citation
Physics and Astronomy · #Chiral perturbation theory #Covariant transformation #Extrapolation #High-Energy Particle Collisions Research #Hyperfine structure #Lattice (music) #Lattice QCD #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quarkonium #Statistics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1007/s00601-005-0121-3
published in Few-Body Systems 38(1), 17-29 (Springer Science+Business Media) · 14 pages, 4 figures, typos corrected, presentation clarified
arxiv created 2005/11/14 · openalex publication_date 2005/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 mπare 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.