Relative -wave excitations of configurations in QCD sum rules
Yi-Wei Jiang · Hua-Xing Chen · Er-Liang Cui · Ding-Kun Lian · Niu Su
We investigate the relative -wave excitations of the systems using the QCD sum rule method. By introducing a covariant derivative between two ground-state charmed meson fields, we construct color-singlet interpolating currents to describe the relative orbital excitation between the two meson clusters. The -wave , , and configurations with are systematically studied. Their masses are predicted to be around , , and -GeV, respectively. These values are close to the corresponding thresholds and are compatible with the structures around and , supporting their possible interpretations as -wave and configurations, respectively. In addition, we find that the and combinations in the sector possess identical correlation functions in the present QCD sum rule framework, leading to degenerate mass predictions for these two channels. These results indicate that relative -wave excitations of heavy meson pairs may constitute another interesting class of near-threshold hadronic configurations worthy of further experimental investigation.