λ, ρ, and σ Regge trajectories for the hexaquark (u̅(cc))(b(b̅b̅)) in the triquark-antitriquark picture
Abstract
We propose Regge trajectory relations for the hexaquark (u̅(cc))(b(b̅b̅)) by using the Regge trajectory relations for diquarks and triquarks. With these newly derived relations, we investigate five series of hexaquark Regge trajectories: the λ-, ρ1-, ρ2-, σ1-, and σ2-trajectories. We demonstrate that, apart from the simplest λ1-trajectories, the ρ1-, ρ2-, σ1-, and σ2-trajectories cannot be constructed by merely mimicking the meson Regge trajectories, since mesons possess no internal substructures. To derive these trajectories, one must account for the structure and internal substructure of hexaquark. Without this structural information, the ρ1-, ρ2-, σ1-, and σ2-trajectories could only be obtained through direct fits to available theoretical predictions or future experimental data. We demonstrate that the ρ1-, ρ2-, σ1-, and σ2-trajectories for the hexaquark do not correspond respectively to the Regge trajectories for the triquark, antitriquark, diquark, and antidiquark. Nevertheless, their behaviors match those of the Regge trajectories for the triquark (u̅(cc)), the antitriquark (b(b̅b̅)), the diquark (cc), and the antidiquark (b̅b̅), in that respective order. Furthermore, we present rough mass estimates for the excited states corresponding to the λ-, ρ1-, ρ2-, σ1-, and σ2-trajectories.
Related
- λ, ρ, and σ Regge trajectories for the quadruply heavy pentaquark bbu̅cc in the diquark-triquark picture
- λ-ρ mode mixing and radial Regge trajectories for triply heavy baryons Ωccc and Ωbbb in the diquark picture
- Spectroscopy, Regge trajectories and decay properties of the bcq̅q̅ and bqc̅q̅ tetraquark systems
- Connecting Regge factorization and Collins-Soper evolution
- Regge Dilaton Gravity from BF Theory
BibTeX
@misc{liu2026regge,
title = {{$λ$, $ρ$, and $σ$ Regge trajectories for the hexaquark $(\baru(cc))(b(\barb\barb))$ in the triquark-antitriquark picture}},
author = {Xin-Ru Liu and Qi Liu and Jiao-Kai Chen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.29380},
eprint = {2606.29380},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29380},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - λ, ρ, and σ Regge trajectories for the hexaquark (u̅(cc))(b(b̅b̅)) in the triquark-antitriquark picture
AU - Xin-Ru Liu
AU - Qi Liu
AU - Jiao-Kai Chen
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2606.29380
UR - https://arxiv.org/abs/2606.29380
AB - We propose Regge trajectory relations for the hexaquark (u̅(cc))(b(b̅b̅)) by using the Regge trajectory relations for diquarks and triquarks. With these newly derived relations, we investigate five series of hexaquark Regge trajectories: the λ-, ρ_1-, ρ_2-, σ_1-, and σ_2-trajectories. We demonstrate that, apart from the simplest λ_1-trajectories, the ρ_1-, ρ_2-, σ_1-, and σ_2-trajectories cannot be constructed by merely mimicking the meson Regge trajectories, since mesons possess no internal substructures. To derive these trajectories, one must account for the structure and internal substructure of hexaquark. Without this structural information, the ρ_1-, ρ_2-, σ_1-, and σ_2-trajectories could only be obtained through direct fits to available theoretical predictions or future experimental data. We demonstrate that the ρ_1-, ρ_2-, σ_1-, and σ_2-trajectories for the hexaquark do not correspond respectively to the Regge trajectories for the triquark, antitriquark, diquark, and antidiquark. Nevertheless, their behaviors match those of the Regge trajectories for the triquark (u̅(cc)), the antitriquark (b(b̅b̅)), the diquark (cc), and the antidiquark (b̅b̅), in that respective order. Furthermore, we present rough mass estimates for the excited states corresponding to the λ-, ρ_1-, ρ_2-, σ_1-, and σ_2-trajectories.
ER -