χc1(4010) as a D*±D∓ Molecular State: Mass, Decay Constant, and Width
Abstract
The charmonium-like state χc1(4010), recently observed by the LHCb Collaboration in B+ → D*±D∓K+ decays, is investigated as an axial-vector D*±D∓ molecular state within the QCD sum rule approach. A two-point sum rule incorporating quark, gluon, and mixed vacuum condensates up to dimension $10$ yields the mass and decay constant, mχc1(4010) = (4005.89 ± 47.15) MeV and fχc1(4010) = (2.87 ± 0.55)× 10−3 GeV4, in agreement with the LHCb measurement. Since this mass lies above the D*±D∓ threshold, the strong coupling constants at the χc1(4010)D*±D∓ vertices are extracted from three-point sum rules and used to compute the partial widths of the D*−D+ and D*+D− channels. The resulting total width, Γχc1(4010) = (57.64 ± 9.64) MeV, is compatible with experiment within uncertainties. These results support a D*±D∓ molecular interpretation of χc1(4010) and offer sum-rule predictions for comparison with future measurements at BESIII, LHCb, and Belle~II.
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BibTeX
@misc{damen2026χc14010,
title = {{$χ_c1(4010)$ as a $D^*\pmD^\mp$ Molecular State: Mass, Decay Constant, and Width}},
author = {S. Damen and H. Sundu and J. Y. Süngü},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23240},
eprint = {2610.23240},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23240},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - χ_c1(4010) as a D^*±D^∓ Molecular State: Mass, Decay Constant, and Width
AU - S. Damen
AU - H. Sundu
AU - J. Y. Süngü
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23240
UR - https://arxiv.org/abs/2610.23240
AB - The charmonium-like state χ_c1(4010), recently observed by the LHCb Collaboration in B^+ → D^*±D^∓K^+ decays, is investigated as an axial-vector D^*±D^∓ molecular state within the QCD sum rule approach. A two-point sum rule incorporating quark, gluon, and mixed vacuum condensates up to dimension $10$ yields the mass and decay constant, m_χ_c1(4010) = (4005.89 ± 47.15) MeV and f_χ_c1(4010) = (2.87 ± 0.55)× 10^−3 GeV^4, in agreement with the LHCb measurement. Since this mass lies above the D^*±D^∓ threshold, the strong coupling constants at the χ_c1(4010)D^*±D^∓ vertices are extracted from three-point sum rules and used to compute the partial widths of the D^*−D^+ and D^*+D^− channels. The resulting total width, Γ_χ_c1(4010) = (57.64 ± 9.64) MeV, is compatible with experiment within uncertainties. These results support a D^*±D^∓ molecular interpretation of χ_c1(4010) and offer sum-rule predictions for comparison with future measurements at BESIII, LHCb, and Belle~II.
ER -