Spectroscopy, Regge trajectories and decay properties of the bcq̅q̅ and bqc̅q̅ tetraquark systems
Abstract
Bottom-charm tetraquarks probe the interplay of heavy-quark dynamics, light-quark correlations, color structure and nearby hadronic thresholds. We investigate the spectroscopy and strong-rearrangement properties of the bcq̅q̅ and bqc̅q̅ (q=u,d) systems in a Cornell-type diquark--antidiquark framework with nonrelativistic (NR) and semirelativistic (SR) kinetics. Scalar and axial-vector cluster configurations are treated explicitly, and model-parameter uncertainties are propagated into state-dependent mass errors. For the 3̅c⊗ 3c axial-axial ground states, the 0+ masses are 7530.1±75.4 MeV (NR) and 7720.7±78.8 MeV (SR) for bcq̅q̅, and 7307.6±90.5 MeV (NR) and 7523.5±93.6 MeV (SR) for bqc̅q̅. The multiplets follow 0+<1+<2+, and radial spacings decrease with excitation. In the bqc̅q̅ sector several low-lying configurations approach the B*D* threshold: the axial-axial 0+ state lies $25.7$ MeV below it in NR but $190.2$ MeV above it in SR, so its threshold assignment is model sensitive and not evidence of robust strong-interaction stability. Spin and color wavefunctions are recoupled independently, giving configuration-dependent PP, PV, VP and VV rearrangement strengths and distinct color-singlet projections for the 3̅c⊗ 3c and 6c⊗6̅c sectors. The strong short-distance attraction of the sextet coefficient ks=−10/3 makes the finite SR expansion unreliable in that branch, so quantitative masses are restricted to the antitriplet sector. The results provide experimentally useful signatures and a baseline for coupled-channel and color-mixing studies.
Related
- Current-dependent SU(3)-flavor breaking in hidden-heavy 0−− tetraquark spectroscopy
- λ, ρ, and σ Regge trajectories for the hexaquark (u̅(cc))(b(b̅b̅)) in the triquark-antitriquark picture
- λ-ρ mode mixing and radial Regge trajectories for triply heavy baryons Ωccc and Ωbbb in the diquark picture
- Spectroscopy of ncncc̅, nnnnc̅, and nnncc̅ pentaquarks within the framework of Regge phenomenology
- λ, ρ, and σ Regge trajectories for the quadruply heavy pentaquark bbu̅cc in the diquark-triquark picture
BibTeX
@misc{lodha2026spectroscopy,
title = {{Spectroscopy, Regge trajectories and decay properties of the \(bc\bar q\bar q\) and \(bq\bar c\bar q\) tetraquark systems}},
author = {Chetan Lodha and Ajay Kumar Rai},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31144},
eprint = {2610.31144},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31144},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Spectroscopy, Regge trajectories and decay properties of the bcq̅q̅ and bqc̅q̅ tetraquark systems
AU - Chetan Lodha
AU - Ajay Kumar Rai
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31144
UR - https://arxiv.org/abs/2610.31144
AB - Bottom-charm tetraquarks probe the interplay of heavy-quark dynamics, light-quark correlations, color structure and nearby hadronic thresholds. We investigate the spectroscopy and strong-rearrangement properties of the bcq̅q̅ and bqc̅q̅ (q=u,d) systems in a Cornell-type diquark--antidiquark framework with nonrelativistic (NR) and semirelativistic (SR) kinetics. Scalar and axial-vector cluster configurations are treated explicitly, and model-parameter uncertainties are propagated into state-dependent mass errors. For the 3̅_c⊗ 3_c axial-axial ground states, the 0^+ masses are 7530.1±75.4 MeV (NR) and 7720.7±78.8 MeV (SR) for bcq̅q̅, and 7307.6±90.5 MeV (NR) and 7523.5±93.6 MeV (SR) for bqc̅q̅. The multiplets follow 0^+<1^+<2^+, and radial spacings decrease with excitation. In the bqc̅q̅ sector several low-lying configurations approach the B^*D^* threshold: the axial-axial 0^+ state lies $25.7$ MeV below it in NR but $190.2$ MeV above it in SR, so its threshold assignment is model sensitive and not evidence of robust strong-interaction stability. Spin and color wavefunctions are recoupled independently, giving configuration-dependent PP, PV, VP and VV rearrangement strengths and distinct color-singlet projections for the 3̅_c⊗ 3_c and 6_c⊗6̅_c sectors. The strong short-distance attraction of the sextet coefficient k_s=−10/3 makes the finite SR expansion unreliable in that branch, so quantitative masses are restricted to the antitriplet sector. The results provide experimentally useful signatures and a baseline for coupled-channel and color-mixing studies.
ER -