Charmed-meson spectroscopy in QCD sum rule

Abstract

We elaborate masses of open-charm mesons (c\bar{d} and c\bar{s}) with J^P=0^-,1^-,0^+,1^+ from a viewpoint of ordinary light-heavy systems in the analysis of standard Borel-transformed QCD sum rule. This analysis is implemented with the operator product expansion up to dimension 6, permitting corrections to the order alpha_s and to the order m_s, and without relying on 1/m_c-expansion. The obtained results following our stringent criteria for the continuum-threshold dependence, the Borel window and the Borel stability, indicate that the charmed-meson masses in the 0^+ channel are overestimated by 100 \sim 200 MeV in comparison with the experimental data, which were recently reported as the rather broad state of D^{*+}(2351) and the extremely narrow state of D_s^{*+}(2317), respectively. Such large mass-discrepancies from the data cannot be seen in other channels, where conversely our results of the c\bar{s}-meson masses are even underestimated somewhat in comparison with data, independent of the value of the strange-quark mass adopted in our calculations. From these results, it might be expected that the measured low mass of D_s^{*+}(2317) is a manifestation of an exotic state with the structures of a four-quark or a molecule, while at present the D^{*+} is not in conflict with the existing data due to its large width.