Electromagnetic Structure of Ωccc++ and Ωbbb− baryons from a covariant three-body Faddeev equation
Abstract
We investigate the electromagnetic structure of the ground-state Ωccc++ and Ωbbb− baryons using a Poincaré-covariant three-body Faddeev equation within the rainbow--ladder truncation. We calculate the complete set of elastic spin-3/2 multipole form factors, GE0, GM1, GE2, and GM3. The leading electric and magnetic form factors become markedly harder from the charm to the bottom sector, revealing the substantially more compact electromagnetic structure of the Ωbbb−. For Ωccc++, the electric form factor and charge radius at low momentum transfer agree well with the available lQCD results. From the magnetic-dipole form factor at zero momentum transfer, GM1(0), we obtain the magnetic moments μΩccc++=1.26 μN and μΩbbb−=−0.207 μN. For GE2 and GM3, the electric-quadrupole structure exhibits a stronger charm-to-bottom evolution than the charge-normalized magnetic-octupole structure. Finally, comparison of the charm and bottom systems shows that both GM1(0) and the relation between the electric and magnetic radii move closer to their leading nonrelativistic heavy-quark expectations as the quark mass increases.
Related
- Electromagnetic form factors of singly charmed baryons Σc and Λc in a covariant quark-diquark model
- Faddeev description of baryons in two-dimensional QCD with Nc=3. I. Chiral spectrum, isospin, and strangeness
- Valence-quark-core and meson-cloud effects on electromagnetic form factors of Δ baryons
- Covariant Gross-Pitaevskii-like equation for relativistic fermions
- Spin-dependent interactions and fine structure in the negative-parity singly heavy baryons
BibTeX
@misc{yao2026electromagnetic,
title = {{Electromagnetic Structure of $Ω_ccc^++$ and $Ω_bbb^-$ baryons from a covariant three-body Faddeev equation}},
author = {Zhao-Qian Yao},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03149},
eprint = {2611.03149},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03149},
}
RIS
TY - UNPB
TI - Electromagnetic Structure of Ω_ccc^++ and Ω_bbb^− baryons from a covariant three-body Faddeev equation
AU - Zhao-Qian Yao
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03149
UR - https://arxiv.org/abs/2611.03149
AB - We investigate the electromagnetic structure of the ground-state Ω_ccc^++ and Ω_bbb^− baryons using a Poincaré-covariant three-body Faddeev equation within the rainbow--ladder truncation. We calculate the complete set of elastic spin-3/2 multipole form factors, G_E0, G_M1, G_E2, and G_M3. The leading electric and magnetic form factors become markedly harder from the charm to the bottom sector, revealing the substantially more compact electromagnetic structure of the Ω_bbb^−. For Ω_ccc^++, the electric form factor and charge radius at low momentum transfer agree well with the available lQCD results. From the magnetic-dipole form factor at zero momentum transfer, G_M1(0), we obtain the magnetic moments μ_Ω_ccc^++=1.26 μ_N and μ_Ω_bbb^−=−0.207 μ_N. For G_E2 and G_M3, the electric-quadrupole structure exhibits a stronger charm-to-bottom evolution than the charge-normalized magnetic-octupole structure. Finally, comparison of the charm and bottom systems shows that both G_M1(0) and the relation between the electric and magnetic radii move closer to their leading nonrelativistic heavy-quark expectations as the quark mass increases.
ER -