Eur. Phys. J. C (2026) 86: 608
https://doi.org/10.1140/epjc/s10052-026-15778-x

Regular Article - Theoretical Physics

Singly heavy cascade baryon ${\mathrm{\Xi }}_c^0$, $\mathrm{\Xi }_c^{_{}^{\prime }0}$, ${\mathrm{\Xi }}_b^{-}$ & $\mathrm{\Xi }_b^{_{}^{\prime }-}$ spectroscopy in the relativistic framework of independent quark model

¹ P D Patel Institute of Applied Sciences, Charusat University, 388421, Anand, Gujarat, India
² Departamento de Fìsica Teòrica and IFIC, Centro Mixto Universidad de Valencia-CSIC, C/ Catedràtico José Beltràn, 2, 46980, Paterna, Spain

^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 10 March 2026
Accepted: 29 April 2026
Published online: 4 June 2026

Abstract

In this work, the potential parameters of the independent quark model are systematically reduced using previously determined inputs from a broad range of baryons. The reduced-parameter formulation, developed within the relativistic Dirac formalism and employing a Martin-like potential, is then applied to the spectroscopy of the singly heavy baryons ${\mathrm{\Xi }}_c^0$ and ${\mathrm{\Xi }}_b^{-}$ in anti-triplet($\overline{\mathbf{3}}$) and sextet($\mathbf{6}$) representations. This enables an explicit verification of the linear relation obtained between the potential parameters. Radially and orbitally excited state masses are calculated accordingly, and the resulting Regge trajectories are used to assign spin-parity of experimentally observed states. The observed states ${\mathrm{\Xi }}_c^0(2882)$, ${\mathrm{\Xi }}_c^0(2923)$, and ${\mathrm{\Xi }}_c^0(2970)$ are interpreted as $J^P={\frac{3}{2}}^{-}$ states, where ${\mathrm{\Xi }}_c^0(2882)$ is assigned to the anti-triplet ($\overline{\mathbf{3}}$) configuration, while ${\mathrm{\Xi }}_c^0(2923)$ and ${\mathrm{\Xi }}_c^0(2970)$ are identified as sextet ($\mathbf{6}$) states. In the bottom sector, the ${\mathrm{\Xi }}_b^{-}(6227)$ state is interpreted either as a $\overline{\mathbf{3}}$ baryon with $J^P={\frac{5}{2}}^{+}$ or as a $\mathbf{6}$ baryon with $J^P={\frac{3}{2}}^{+}$. To investigate the electromagnetic structure of these baryons, their magnetic moments and radiative decay widths are computed. Additionally, the two-body weak decay branching ratios of ${\mathrm{\Xi }}_c^0$ are evaluated and compared with experimental data to assess the robustness of the approach. The two-body nonleptonic decays of $\mathrm{\Xi }_b^{_{}^{\prime }-}$ are also analyzed, providing predictions for branching ratios that may be tested in future experiments. Overall, the results demonstrate the effectiveness of the parameter-reduction procedure and support its applicability in the spectroscopy of heavy flavor baryons.