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Title: Chiral Extrapolation of Lattice Data for Heavy Meson Hyperfine Splittings

Journal Article · · Few Body Systems

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{sub {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.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE - Office of Energy Research (ER)
DOE Contract Number:
AC05-84ER40150
OSTI ID:
892163
Report Number(s):
JLAB-THY-05-447; DOE/ER/40150-3637; hep-lat/0511020; TRN: US0605554
Journal Information:
Few Body Systems, Vol. 38
Country of Publication:
United States
Language:
English