Relative P-wave excitations of D(*)D̅(*) configurations in QCD sum rules
Abstract
We investigate the relative P-wave excitations of the D(*)D̅(*) 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 P-wave DD̅, DD̅*/D*D̅, and D*D̅* configurations with JP=1− are systematically studied. Their masses are predicted to be around $3.8$, $3.9$, and $4.0−4.1$GeV, respectively. These values are close to the corresponding thresholds and are compatible with the structures around X(3790) and G(3900), supporting their possible interpretations as P-wave DD̅ and DD̅*/D*D̅ configurations, respectively. In addition, we find that the JPC=1−+ and 1−− combinations in the DD̅*/D*D̅ 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 P-wave excitations of heavy meson pairs may constitute another interesting class of near-threshold hadronic configurations worthy of further experimental investigation.
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BibTeX
@misc{jiang2026relative,
title = {{Relative $P$-wave excitations of $D^(*)\bar D^(*)$ configurations in QCD sum rules}},
author = {Yi-Wei Jiang and Hua-Xing Chen and Er-Liang Cui and Ding-Kun Lian and Niu Su},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06979},
eprint = {2610.06979},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06979},
}
RIS
TY - UNPB
TI - Relative P-wave excitations of D^(*)D̅^(*) configurations in QCD sum rules
AU - Yi-Wei Jiang
AU - Hua-Xing Chen
AU - Er-Liang Cui
AU - Ding-Kun Lian
AU - Niu Su
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.06979
UR - https://arxiv.org/abs/2610.06979
AB - We investigate the relative P-wave excitations of the D^(*)D̅^(*) 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 P-wave DD̅, DD̅^*/D^*D̅, and D^*D̅^* configurations with J^P=1^− are systematically studied. Their masses are predicted to be around $3.8$, $3.9$, and $4.0−4.1$GeV, respectively. These values are close to the corresponding thresholds and are compatible with the structures around X(3790) and G(3900), supporting their possible interpretations as P-wave DD̅ and DD̅^*/D^*D̅ configurations, respectively. In addition, we find that the J^PC=1^−+ and 1^−− combinations in the DD̅^*/D^*D̅ 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 P-wave excitations of heavy meson pairs may constitute another interesting class of near-threshold hadronic configurations worthy of further experimental investigation.
ER -